Local Program 1: Physics and Mathematics of Gauge Field Theories:

Program Coordinator: Chopin Soo (NCKU)

Participants:

Chen Chuan-Hung (NCKU),

Chen Chia-Chu (NCKU),

Huang Wung-Hung (NCKU),

Li Hsiang-Nan (NCKU + AS),

Nyeo Su-Long (NCKU),

Soo Chopin (NCKU),

Yo Hwei-Jang (NCKU) ,

Zhang Wei-Min (NCKU),

Lee Chin-Rong (NCCU),

Su Wang-Chang (NCCU),

Tu Ming-Hsien (NCCU),

Chen Yaw-Hwang (Kun Shan U. of Tech., Tainan),

Wu Chun-Yi (Fortune Inst. of Tech., Kaoshiung),

Hwang Chien-Wen (NKNU, Kaoshiung),

Lin De-Hone (NSYSU),

Postdocs, Short-term visitors (visitor list is still under consultations), and graduate students

 

Focus: Methods and phenomenology of quantum gauge field theories

Regularization techniques, Light-front formalism, Operator Product Expansions, path integral techniques, and their applications to chiral field theories and quark-hadron phenomenology; and applications of differential geometry and topology to gauge field theories

Details:

Quantum field theory (QFT) is the standard framework for describing elementary particles and their interactions. Central to its success has been the incorporation and study of gauge field theories which lie at the heart of the standard model and its extensions. We propose to explore new applications and phenomenology, and to concentrate on the above topics on which we also have past experience and common interests so as to enhance interactions, mutual learning, and collaborations among the paricipants.

In the study of gauge field theories, differential geometry and topology have become essential tools for theoretical physicists. Their use have lead to many results and insights which cannot be obtained otherwise. They have greatly helped to unravel and reveal the subtleties and richness inherent in gauge field theories. We aim to increase cross-fertilizations between more mathematically oriented participants working on soliton physics, integrable systems and differential geometric methods in curved spacetimes with phenomenologists. In particular, the identification of physical degrees of freedom in effective theories and new applications and implications of monopole, instanton solutions and skyrme models will be investigated.

Computations in a quantum field theories involve quantum loop calculations that are generally plagued by infinities, and thus regularization is called for. A commonly-used method is dimensional regularization, which respects gauge and Lorentz symmetries. However, it is not well suited to chiral theories like the standard model of particle physics and low-energy hadron physics with axial vector currents. We propose to investigate how differential regularization (DR) and other invariant regularization schemes can be fully implemented in a consistent manner in chiral theories. The investigations will include background-field formalism for DR. For the gauge sector, which requires gauge conditions, we shall consider using the Vilkovsky-DeWitt approach to assure gauge-independence of physical quantities. DR was introduced several years ago and demonstrated to be applicable to chiral gauge theories. It does, however, exhibit some inconveniences e.g. fixing the renormalization scale in gauge theories requires implementing the Ward identities by hand. We shall thus first apply DR to gauge theory in the background-field formalism, which is a useful computational tool in quantum field theories that allows one to compute radiative corrections while maintaining manifestly the symmetries of the theory under consideration. In essence, this formalism allows us to manipulate a gauge theory as a scalar-like theory. Therefore, by studying gauge theories in this formalism with DR, we hope to eliminate the cumbersome step of implementing the Ward identities in the calculations of Green functions, and hope that this method can be applied more easily to computations.

Another regularization scheme uses zeta functions[1]. Recently we proposed a regularization of von Neumann entanglement entropy in terms of generalized zeta functions[2]. This Lorentz invariant characterization allows the discussion of entanglement issues in quantum information science in the context of quantum field theory and systems with infinite dimensional Hilbert spaces. Its serious study and application to the thermodynamics of entanglement may yield significant results in quantum information science.

On the other hand, a long-standing problem in the last thirty year investigations of theoretical science is how to solve non-perturbatively the physics of quantum chromodynamics (QCD). QCD, the theory of the strong interaction, is a theory in physics that has been accepted widely as fundamental but has not been precisely tested. The lack of precision tests come from the fact that we are still unable to apply QCD to describe strong interaction processes at low and intermediate energies, although many of these processes have been measured for a long time. Loosely speaking, all successful methodologies developed in 20th century lie more or less on various perturbative methods. Non-perturbative approaches in field theories were mainly proposed by K. G. Wilson in 70's to 80's of the last century, such as the renormalization group approach and the lattice gauge theory. Some progresses have been make in solving QCD in the past based on these methods, but it is still far to reach upon a satisfied answer. Less than 10 years ago, the investigations of the non-perturbative QCD turns to the light-front formalism. The light-front formulation is the nature framework for relativistic physics, so does for non-perturbative field theory.

With almost 10 years research experience on light-front in the past, we can now focus on the most difficult problem of how to provide a clear picture of the dynamical chiral symmetry breaking and the quark confinement with a trivial light-front QCD vacuum. The trivial vacuum in light-front is obtained by removing the longitudinal zero modes which can be easily realized by imposing an explicit cutoff on small longitudinal momentum or via a suitable prescription of the longitudinal zero-mode[3]. Both methods give a specific regularization of the longitudinal momentum going to be zero. It is then natural to ask how the spontaneously chiral symmetry breaking and quark confinement (which are a nontrivial vacuum effect of QCD in common understanding and plays a crucial role in the description of low energy hadronic physics) can be manifested in light-front. A few years ago, the quark confinement has received certain understanding on the light-front[4]. Meanwhile, Wilson pointed out that the concept of spontaneously chiral symmetry breaking may be realized via an explicit symmetry breaking in light-front induced from counter-terms of removing the longitudinal momentum divergence[5], but up to date a practical scheme of this procedure has been carried out yet.

In fact, chiral symmetry itself is not a good dynamical symmetry for the strong interaction. Mechanisms of a dynamical symmetry breaking can manifest differently in different space-time framework. Therefore, before we attempt to describe the chiral symmetry related counterterms through a reliable renormalization procedure for the light-front QCD Hamiltonian, it is certainly helpful to understand the precise meaning of chiral symmetry and its breaking in light-front. Currently, we are studying, from the very first principles, chiral transformations in light-front and the corresponding theorems of axial-vector current for the light-front QCD. We are sure that the further exploration of its relation with the poinic dynamics and the associated physical implication in hadronic structure will be greatly helpful for our understanding of non-perturbative QCD in light-front.

Also, based upon past experience, our participants shall also investigate applications of operator product expansions, light-front formalism, and apply the regularization schemes to effective Lagrangians for the low-energy hadron physics which incorporate relevant features of QCD.

In particular, we shall take advantage of the formalism of the light-front dynamics in the framework of the quark model, which can treat relativistic effects of quark motion and spin in bound states, and phenomenological wave functions to study (1) the parton distribution functions in the deep virtual Compton scattering (DVCS) and (2) the transition form factors between s-wave and p-wave mesons. Our motivations can be described as follows:

On the empirical side, data on electron-proton scattering (HERA in Germany, SLAC in USA) and electron-meson scattering (Fermilab in USA) are available; but in the analysis of light-front quark model (LFQM), there is nonvalence contribution in which the treatment is still uncertain. The difficulty comes from the fact that one does not fully know how to use the concept of parton to explain the final hadron in the nonvalence configuration. Ref. [6] contains details of the source of nonvalence contributions and the difficulties involved and a consistent treatment for the valence and nonvalence configurations in the semileptonic weak decays. Subsequently, this approach is applied to the electron-hadrons DVCS and to obtain the so-called ``skewed parton distribution functions” which are a generalization of the ordinary parton distribution functions and elastic form factors and subsequent calculation of all the form factors in the electron-meson elastic scattering. Indeed, the form factors of the electron-hadron elastic scattering connects compactly to the parton distribution functions of the electron-hadrons inelastic scattering. And from the LFQM, we find the latter process has the above nonvalence contribution. Thus we can treat the results of the electron-meson scattering as constraints, and use the approach in Ref. [6] to calculate the parton distribution functions of electron-parton DVCS. Comparing with the data which has been or will be obtained from the above experiments, we can further constrain the internal structure of the hadronic bound state.

Increasing amount of data from B factories (KEK in Japan, SLAC in USA) has also induced the study of the decay modes including p-wave mesons, and especially in B -> D(*, 1/2, 3/2) . Based on the experience of studying transitions between s-wave and s-wave mesons, we shall apply the light-front approach to calculate the form factors between s-wave and p-wave mesons. The p-wave mesons include scalar, axial vector, and tensor mesons; as to the decay modes, there are semileptonic and radiative decays. In addition, we may also consider these transitions in the heavy quark limit. It is well known [7] the various form factors will reduce to two functions, and we may also use the phenomenological wave function to compare the results with the Isgur-Wise function.

Another subtopic of interest is the study of Lorentz and discrete symmetry violations. It is well known that homogeneous Lorentz transformations consist of boosts and rotations. Lorentz symmetry not only guarantees the speed of light being the same in every inertial frame but also implies angular momentum conservation. Precision empirical measurements have so far produced no evidence of any deviations from Lorentz invariance. In addition, we also know that quantum field theory, the modern description of all interactions among particles, at least at energies well below the Planck scale, is founded upon the synthesis of quantum mechanics and Lorentz invariance. In the framework of QFT, it was proved that if the conditions of locality, unitarity and Lorentz invariance are satisfied, CPT has to be conserved. This is the so-called CPT theorem [8]. Nevertheless, possible mechanisms for the breaking Lorentz symmetries and/or CPT transformations have been found in theories which may describe physics at the Planck scale. Firstly, according to the study of Refs. [9], curved space times around black holes in quantum gravity will violate unitarity because a portion of information will disappear inside the microscopic event horizons. Chiral gravity which is fully compatible with Lorentz invariance may also violate CPT because of its non-Hermitian couplings to torsion fields[10]. Furthermore, due to the nonlocal nature of strings, it was shown that in string theory [11] spontaneous Lorentz symmetry breaking can arise from tensor fields with nonvanishing low energy vacuum expectation values. Possible modifications to Lorentz invariant high energy particle dispersion relations may also come from non-commutative space-times, models of space-time foam, and loop-quantum gravity scenarios. These have lead to recent proposals of doubly-special relativity theories that involve both an observer-independent velocity scale and an observer-independent length/momentum scale[12].

As no Lorentz and CPT violations have so far been observed in nature, such effects if they exist are presumably tiny. Therefore, the accuracies of experiments should be push to unprecedented levels. However, in recent years a number of sensitive experiments, such as atomic systems[13], photons[14], hadrons[15] as well as muons[16] and electrons[17], have participated to detect the violations of Lorentz and CPT symmetries. One particularly sensitive class of experiments involves extremely precise clocks and resonators. A number of experiments of this type are under development to test relativity principles on the International Space Station (ISS). These include the atomic-clock based experiments ACES [18], PARCS, RACE [19] and a resonant-cavity experiment, SUMO [20]. Some of the best constraints on Lorentz and CPT violation have been achieved in Earth-based atomic-clock experiments. Recently, similar techniques have been used in Earth-based experiments involving superconducting microwave cavities and cryogenically cooled optical cavities that probed previously untested regions of coefficient space. The basic principle behind all these experiments is to search for variations in the frequencies of resonant systems as the Earth rotates, while space-based versions will look for the variations in satellites orbiting the Earth. We plan to study (1) the implication of CPT violation on electric dipole moment of lepton (2) the oscillation of neutron-antineutron in quantum gravity decoherence. Their motivations are briefly described as follows:

(1) It is known that the operator for electric dipole moment is P-odd and T-odd. If the interaction term is also C-even, a non-vanishing electric dipole moment can be obtained. Due to the C conservation, the corresponding electric dipole moment for the antiparticle should be of opposite sign to that of the particle. Hence, their sum should vanish. However, if there is a C-odd interaction involved, the electric dipole moment for particle and antiparticle bear the same sign, and their sum does not vanish anymore. Thus different electric dipole moments for particle and antiparticle can manifest the effects of CPT violation. The current limit on electric dipole moment of electron has reached 10-27 e-cm, and it can reveal CPT violation of the same order of magnitude from the difference between electron and positron dipole moments. We shall find out what models of CPT violations can reach the current experimental limit.

(2) The induced decoherence and oscillation for K-antiK mixing in quantum gravity have been introduced in Ref.[21]. It is of interest to also study the effects of quantum gravity on the phenomenon of the oscillation of neutron-antineutron. Although the phenomenon is similar to neutral K meson system; the latter however involves baryon number violation; and it is worth mentioning if oscillating neutrinos are Majorana (with lepton number violation), our method of investigation may also apply to neutrino oscillations.

References

  1. S. W. Hawking, Commun . Math. Phys. 55 (1977) 133; G. W. Gibbons, Phys. Lett . 60A (1977) 385; J. S. Dowker and R. Critchley , Phys. Rev. D13 (1976) 224; ibid. D13 (1976) 3224; D16 (1977) 3390.

  2. C. Soo and C. Y. Lin, Wigner rotations, Bell states, and Lorentz invariance of entanglement and von Neumann entropy , quant-ph/0307107.

  3. K. G. Wilson, A. Harindranath , T. Walhout , Wei -Min Zhang, R. J. Perry, and S. Glazek , " Nonperturbative QCD, a weak-coupling treatment on the light-front'', Phys. Rev. D49, 6720 (1994); Wei -Min Zhang, and A. Harindranath , "Light-front QCD (I): Role of Longitudinal Boundary Integrals'', Phys. Rev. D48, 4868 (1993).

  4. K. G. Wilson and M. Brisudova , hep-th/9411008, in the proceedings of nonperturbative light-front theory (1994).

  5. Wei -Min Zhang, "A Weak-Coupling Treatment of Nonperturbative QCD Dynamics to Heavy Hadrons'' , Phys . Rev. D56, 1528 (1997).

  6. H.Y. Cheng, C.Y. Cheung, and C.W. Hwang, Phys. Rev. D55 (1997) 1559; C.W. Hwang, Phys. Lett . B530 (2002) 93.

  7. S. Balk, et al., 1993, Z. Phys. C59, 283; A. Wambach , 1995, Phys. Lett . B434, 647.

  8. J. Schwinger , Phys. Rev. 82, 914(1951) ; J . S. Bell, Proc. Roy. Soc. 231, 479(1955); W. Pauli , in Niels Bohr and the Development of Physics , ed. W. Pauli , (McGraw-Hill, New York, 1955); G. L"uders and B. Zumino , Phys. Rev. 106, 385(1957); R.F. Streater and A.S. Wightman, PCT, Spin and Statistics, and All That (Benjamin Cummings, Reading, 1964).

  9. S.W. Kawking , Comm. Math. Phys. 87, 395 (1982); R. Wald , Phys. Rev. D21, 2742(1980); G. Barenboim and J. Lykken , Phys. Lett . B554, 73(2003).

  10. L. N. Chang and C. Soo , Phys. Rev. D53 (1996) 5682; Class. Quant. Grav . 20 (2003)1379-1388.

  11. V.A. Kostelecky and S. Samuel, Phys. Rev. D 39 (1989) 683; ibid ., 40 (1989) 1886; Phys. Rev. Lett . 63, 224 (1989); ibid. , 66, 1811(1991); V.A. Kostelecky and R. Potting, Nucl . Phys. B359, 545(1991).

  12. For a review of the issues, see, for instance, G. Amelino-Camelia , Int. J. Mod. Phys. D11 (2002) 1643-1669, and references therein.

  13. C.J. Berglund et al. , Phys. Rev. Lett . 75, 1879 (1995); L.R. Hunter et al. , in V.A. Kostelecky , ed., CPT and Lorentz Symmetry , World Scientific, Singapore, 1999; D. Bear et al. , Phys. Rev. Lett . 85, 5038 (2000); D.F. Phillips et al ., Phys. Rev. D 63, 111101 (2001); M.A. Humphrey et al. , physics/0103068; Phys. Rev. A 62, 063405 (2000); V.A. Kostelecky and C.D. Lane, Phys. Rev. D 60, 116010 (1999); J. Math. Phys. 40, 6245 (1999); R. Bluhm et al. , Phys. Rev. Lett . 88, 090801 (2002); R. Bluhm et al. , hep-ph/0306190.

  14. J. Lipa et al. , Phys. Rev. Lett . 90, 060403 (2003); H. Muller et al., physics/0305117; S.M. Carroll, G.B.Field , and R. Jackiw , Phys. Rev. D 41, 1231 (1990); V.A.Kostelecky and M. Mewes , Phys. Rev. Lett . 87, 251304 (2001).

  15. OPAL Collaboration, R. Ackerstaff et al. , Z. Phys. C 76, 401 (1997); DELPHICollaboration , M. Feindt et al ., preprint DELPHI 97-98 CONF 80 (1997); BELLE Collaboration, K. Abe et al. , Phys. Rev. Lett . 86, 3228 (2001); BaBar Collaboration, B. Aubert et al ., hep-ex/0303043; FOCUS Collaboration, J.M. Link et al. , Phys. Lett . B 556, 7 (2003).

  16. V.W. Hughes et al. , Phys. Rev. Lett . 87, 111804 (2001); R. Bluhm et al ., Phys. Rev. Lett. 84, 1098 (2000).

  17. H. Dehmelt et al. , Phys. Rev. Lett. 83, 4694 (1999); R.Mittleman et al. , Phys. Rev. Lett. 83, 2116 (1999); G. Gabrielse et al. , Phys. Rev. Lett. 82, 3198 (1999); R. Bluhm et al., Phys. Rev. Lett. 8}, 2254 (1999); Phy. Rev. Lett. 79, 1432 (1997); Phys. Rev. D 57, 3932 (1998); L.-S.\ Hou , W.-T.\ Ni, and Y.-C.M. Li, Phys. Rev. Lett . 9}, 201101 (2003); R. Bluhm and V.A Kostelecky , Phys. Rev. Lett . 84, 1381 (2000).

  18. P. Laurent et al. , Eur. Phys. J. D 3 (1998) 201.

  19. C. Fertig et al., Proceedings of the Workshop on Fundamental Physics in Space, Solvang, June 2000

  20. S. Buchman et al. , Adv. Space Res. 25, 1251 (2000); J. Nissen et al.

  21. J. R. Ellis, J.S. Hagelin, D.V. Nanopoulos and Srednicki, Nucl. Phys. B241 (1984) 381; J. R. Ellis, J.L. Lopez, N.E. Mavromatos and D.V. Nanopoulos, Phys. Rev. D53 (1996) 3846.

Relevant (selected) publications/preprints of investigators

  1. Spontaneous CP violation from high-dimensional operators, D. Chang, C.H. Chen and C.Q. Geng , Prog . Theor . Phys. 101, 403 (1999)

  2. T violation in B to K* l - l + from SUSY, C. H. Chen and C. Q. Geng , Phys. Rev. D66 (2002) 014007

  3. CP Violation in Hyperon Decays from SUSY with Hermitian Yukawa and A Matrices, C. H. Chen , Phys. Lett . B521 (2001) 315-319

  4. T violation in L b to L l + l - decays with polarized Λ, C.H. Chen , C.Q. Geng and J. N. Ng, Phys. Rev. D65, 091502 (2002)

  5. The Muon Anomalous Magnetic Moment from a Generic Charged Higgs with SUSY, C.H. Chen and C.Q. Geng , Phys. Lett . B511, 77 (2001).

  6. Effective Potential of Nambu -- Jona-Lasinio Model in Differential Regularization, Y.-H. Chen and S.-L. Nyeo , Chinese Journal of Physics 33, 213-220 (1995)

  7. Differential Renormalization of QCD in the Background-Field Method, S.-L. Nyeo , Chinese Journal of Physics 34, 874-880 (1996))

  8. Differential Renormalization of Scalar Field Theory in the Background-Field Method, Y.-H. Chen , M.-T. He, and S.-L. Nyeo , Chinese Journal of Physics 34, 1129-1135 (1996)

  9. The U_ L( 3) X U_R(3) Extended Nambu-Jona-Lasinio Model in Differential Regularization, Y.-H. Chen , S.-L. Nyeo , and Y.-W. Yang, Int. J. Mod. Phys. A12, 2361-2371 ( 1997)

  10. Charge form factors and transition form factors of light mesons in LFQM, C. W. Hwang , Eur . Phys. J. C19 (2001) 105

  11. Consistent treatment for pion form factors in spacelike and timelike regions, C. W. Hwang , Phys. Rev. D64 (2001) 034011

  12. Lepton pairs decay of K L meson in the light-front model, C.Q. Geng and C. W. Hwang , Phys. Rev. D66 (2002) 034005.

  13. Mesonic tensor form factors with light front quark model, C.Q. Geng , C. W. Hwang , C.C. Lih and W.M. Zhang , Phys. Rev. D64 (2001) 114024

  14. Consistent treatment for pion form factors in spacelike and timelike regions, C. W. Hwang , Phys. Rev. D64 (2001) 034011

  15. C.Y. Cheung, C.W. Hwang , and W.M. Zhang , Z. Phys. C75 (1996) 657

  16. Covariant light-front model of heavy mesons within HQET, H.Y. Cheng, C.Y. Cheung, C. W. Hwang and W.M. Zhang , Phys. Rev. D57 (1998) 5598

  17. B -> p l n form factors calculated on the light front, C.Y. Cheung, C.W. Hwang and W.M. Zhang, Z. Phys. C75 (1997) 657

  18. Mesonic form factors and the Isgur -Wise function on the light front, H.Y. Cheng, C.Y. Cheung, and C.W. Hwang , Phys. Rev. D55 (1997) 1559

  19. Temporal gauge field theory in the Feynman prescription, K. C. Lee and S .-L. Nyeo , J.Math.Phys.35:2210-2217 ,1994

  20. THE PLANAR GAUGE IN A NEW FORMALISM, G. Leibbrandt and S.L. Nyeo , Mod. Phys. Lett . A3 ,1085 -1090 (1988)

  21. Application of unifying prescription for axial type gauges in QCD, G. Leibbrandt and S.-L. Nyeo , Phys. Rev. D39, 1752 (1989)

  22. Yang-Mills theory in the light cone gauge in the Becchi-Rouet-Strora formalism, S.L. Nyeo , Phys. Rev. D34, 3842-3845 (1986)

  23. Yang-Mills selfenergy in a class of linear gauges, S.-L. Nyeo , Phys. Rev. D36, 2512 (1987)

  24. Renormalization of the twist four operator in the light cone gauge, S.L. Nyeo , Nucl . Phys. B273, 195-204 (1986)

  25. Technical aspect in the light cone gauge, G. Leibbrandt and S.L . Nyeo , Phys. Rev. D33, 3135-3137 (1986)

  26. One-loop N point functions in the light cone gaguge , G. Leibbrandt and S.L. Nyeo , Z. Phys. C30, 501-505 (1986)

  27. Nonlocal BRS counterterms in a physical gauge, G. Leibbrandt , and Su-Long Nyeo , Nucl . Phys. B276, 459 (1986)

  28. Renormalization questions in the light-cone gauge, A. Andrasi G. Leibbrandt and S.-L. Nyeo , Nucl . Phys. B276, 445 (1986)

  29. Two loop Feynman integrals in the physical light cone gauge, G. Leibbrandt and S.-L. Nyeo , J. Math. Phys. 27, 627 (1986)

  30. Generalized ward identity for the quark self-energy and the quark quark-gluon vertex in the light-front cone gauge. G. Leibbrandt and S.-L. Nyeo , Phys. Lett . B140, 417 (1984).

  31. Chilong Lin, Chia-Chu Chen, and Chien-er Lee , Phys. Rev. D58, 075009 (1998),

  32. Chilong Lin, Chien-er Lee, Yeou-Wei Yang, Chinese J. Phys. 32, 41 (1994),

  33. Chilong Lin, Chien-er Lee and Yeou-Wei Yang, Phys. Rev. D50, 558 (1994),

  34. Jiun-Ming Hsu, Yeou-Wei Yang and Chien-er Lee, Prof. Natl. Sci. Counc . ROC( A), 17, 249 (1993)

  35. Chien-er Lee, Benjamin Tseng and Yeou-Wei Yang, Mod. Phys. Lett. A6, 20, 1833 (1991),

  36. Chien-er Lee , Chilong Lin and Yeou-Wei Yang, 1991, Progress in High Energy Physics, pp.237, published by Elsevier Science Publishing Co.

  37. Chien-er Lee , Chilong Lin and Yeou-Wei Yang, Phys. Rev. D42, 2355 (1990).

  38. Massive torsion modes, chiral gravity and the Adler-Bell- Jackiw anomaly, L. N, Chang and C. Soo , Class. Quant. Grav . 20, 1379-1388 (2003)

  39. Wave function of the universe and chern-simons perturbation theory, C. Soo , Class. Quant. Grav.19, 1051-1064 (2002)

  40. Einstein manifolds, abelian instantons , bundle reduction, and the cosmological constant, C. Soo , Class. Quant. Grav.18, 709-718 (2001)

  41. Adler-Bell- Jackiw anomaly, the Nieh-Yan form, vacuum and polarization, C. Soo , Phys. Rev. D59, 045006 (1999)

  42. Quantum field theory with and without conical singularities: block holes with cosmological constant and multihorizon scenario, F.-L. Lin and C. Soo , Class. Quant. Grav.16, 551-562 (1999)

  43. Invariant regularization of anomaly-free chiral theories, L. N. Chang and C. Soo , Phys. Rev. D55, 2410-2421 (1997)

  44. The standard model with gravity couplings, L. N. Chang and C. Soo , Phys. Rev. D53, 5682-5691 (1996)

  45. Self-dual variable positive semi-definite in 4-D quantum gravity, C. Soo , Phys. Rev. D52:3484-3493 (1995)

  46. The Chern -Simons invariant as the natural time variable for classical and quantum cosmology, L. Smolin and C. Soo , Nucl . Phys. B449 289-316 (1995)

  47. Semiclassical Quantization of Hopf Solitons , W.C. Su , Phys.Lett . B525 (2002) 201-204

  48. Faddeev-Skyrme Model and Rational Maps, W. C. Su , Chin. J. Phys. 40 (2002) 516-525

  49. Abelian Decomposition of Sp( 2N) Yang-Mills Theory, W. C. Su , Phys. Lett . B499 (2001) 275-279

  50. Abelian Decomposition of SO( 2N) Yang-Mills Theory, W. C. Su , Eur . Phys. J. C20 (2001) 717-721

  51. On the Z_2 Monopole of Spin( 10) Gauge Theories, W. C. Su , Phys.Rev . D57 (1998) 5100-5107

  52. A Relation between the Anomalous Dimensions and OPE Coefficients in Asymptotic Free Field Theories, H. Sonoda and W. C. Su , Phys.Lett . B392 (1997) 141-14

  53. Operator product expansions in two-dimensional O( N) non-linear sigma model, H. Sonoda and W.-C. Su , Nucl . Phys. B441, 310-336 (1995)

  54. Conformal Covariantization of Moyal -Lax Operators, M. H. Tu , N. C. Lee, and Y. T. Chen, J. Phys. A35 (2002) 4375

  55. Topological Field Theory approach to the Generalized Benney Hierarchy, J. H. Chang and M. H. Tu , hep-th/0108059

  56. Nonlocal extended conformal algebras associated with the multi-constraint KP hierarchy and its free-field realizations, J. C. Shaw and M. H. Tu , Int. J. Mod. Phys. A13 (1998) 2723-2737

  57. Canonical gauge equivalence of the sAKNS and sTB hierarchies, J. C. Shaw and M. H. Tu , J. Phys. A31 (1998) 6517-6523

  58. A note on the gauge equivalence of the Manin-Radul and Laberge -Mathieu super KdV hierarchies, J. C. Shaw and M. H. Tu , J. Phys. A31 (1998) 4805-4810

  59. Solving the constrained KP hierarchy by gauge transformations , L . L. Chau , J. C. Shaw and M. H. Tu , J. Math. Phys. 38 (1997) 4128-4137

  60. Deep Inelastic Structure Functions in Light-Front QCD: Radiative Corrections
    A. Harindranth , R. Kunda and W. M. Zhang , Phys. Rev. D59 (1999) 094013

  61. Nonperturbative Description of Deep Inelastic Structure Functions in Light-Front QCD, A. Harindranth , R. Kunda and W. M. Zhang, Phys.Rev . D59 (1999) 094012

  62. Radiative Leptonic B Decays in the Light Front Model, C. Q. Geng , C. C. Lih and W. M. Zhang , Phys. Rev. D57 (1998) 5697-5702

  63. Quark Confinement in Light-Front QCD and A Weak-Coupling Treatment to Heavy hadrons, W. M. Zhang , hep-ph/9510428

  64. Light-Front Heavy Quark Effective Theory and Heavy Meson Bound States
    C. Y. Cheung, W. M. Zhang and G. L. Lin, Phys. Rev. D52 (1995) 2915-2925

  65. Heavy Quark Effective Theory on the Light Front, W. M. Zhang , G. L. Lin and C. Y. Cheung, Int. J. Mod. Phys. A11 (1996) 3297-3306

  66. Light-Front Dynamics and Light-Front QCD, W. M. Zhang , Chin.J.Phys . 32 (1994) 717-808

  67. Light-Front QCD: Role of Longitudinal Boundary Integrals, W. M. Zhang and A. Harindranath , Phys. Rev. D48 (1993) 4868-4880

  68. Residual Gauge Fixing in Light-Front QCD, W. M. Zhang and A. Harindranath Phys. Lett . B314 (1993) 223-228

 

Motivations and Aims :

 

1. One of the main aims of this program is to pool and organize the resources, expertise and experience of the research community of theorists from Chia-yi, Tainan and Kaoshiung in Southern Taiwan. This NCTS program and its joint activities will constitute a platform to facilitate and improve interactions, permit frequent exchanges, and induce integration and collaborations among these theorists at a level BEYOND the support provided by individual grants from the National Science Council.

2. Solving important questions in Physics often require the combined efforts and perspectives of scientists of diverse backgrounds and training. The proposed research activities will focus on several significant topics in the physics and mathematics of quantum gauge field theories and differential geometry. The methodologies include invariant regularization methods, operator expansion techniques, light-front formalism; and the applications of differential geometry and topology to perturbative and non-perturbative phenomena. Potential results include novel soliton solutions, new phenomenological consequences in CP, T and CPT violations, improvements in invariant and gauge-independent calculations for chiral theories and quark-hadron physics, and clarification of the role of entropy and entanglement in quantum field theory and quantum information science. The proposed gathering of mathematical physicists, quantum field theorists, and phenomenologists will ameliorate the weaknesses of each subgroup and broaden the limited perspective and applicability of results in a particular sub-discipline through the strengths, experience and expertise of other members