This proposal is based on NCTS (South):

Finding incomprehensible phenomema and solving the 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 gauge field theories and differential geometry. The phenomenological investigates include the search of new CP, T, CPT symmetries broken in B meson system as well as other low energy processes, the improvements in invariant and gauge-independent calculations for chiral theories and quark-hadron physics, and the study of quasi-equilibrium binary black hole initial data in numerical grivity. The methodologies include invariant regularization methods, light-front formalism; and the applications of differential geometry and topology to perturbative and non-perturbative phenomena. The proposed gathering of phenomenologists, quantum field theorists, and mathematical physicists will improve 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. The main research interests are shown as follows:

Implications of CPT violation on electric dipole moment of lepton:

It is known that the operator for electric dipole moment is P-odd and T-odd. 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. 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.

Quantization of Dispersionless Integrable Hierarchies in Higher Dimensions:

In 2-D topological field theories, the associative equations of chiral operators yield the WDVV equations. The geometric structure encoded in the WDVV equations is the so-called Frobenius manifold. Based on the relationship between the geometric structure of the Frobenius manifold and the bi-Hamiltonian structure of the integrable hierarchies, one can obtain a dispersive (high-genus) expansion for the dispersionless integrable hierarchies. That means the quantized version of integrable hierarchies can be obtained. Investigation of its quantization would be important for the realization of topological field theories in physical worlds with D>2.

Relativistic Hydrodynamic Evolutions with Black Hole Excision:

One important scenario involving both hydrodynamic matter and black holes is core collapse in massive stars, an event of immense importance due to its association with supernovae, the formulation of neutron stars and black holes, and gamma ray bursts (GRBs). For the massive stars which the mass are larger than 20 solar mass, the core collapses promptly to a black hole so that the system is a promising candidate for a GRB. Most models of the central engine of GRBs involve a black hole surrounded by a rapidly accreting disk and a jet. Three dimensional fully relativistic simulations of both the black hole and the exterior matter will be needed to test the feasibility of various models for the production of GRBs from such “collapsars”, and it is likely that excision will be required to track the full evolution.



Participants & Members of focused group:

1. Faculties:

Chuan-Hung Chen (Coordinator) (NCKU)

Chia-Chu Chen (NCKU)

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

Chien-Wen Hwang (NKNU)

Chin-Rong Lee (NCCU)

De-Hone Lin (NSYU)

Hsian-Nan Li (AS, NCKU)

Su-Long Nyeo (NCKU)

Chopin Soo (NCKU)

Wang-Chang Su (NCCU)

Ming-Hsien Tu (NCCU)

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

Hwei-Jang Yo (NCKU)

Wei-Min Zhang (NCKU)


2. Postdoctors

Huei-Shih Liao 廖惠施 (AS)

Zheng-Tao Wei 魏正濤 (NCKU)