Dirac Operator on Fuzzy Sphere with U(1) Dirac Monopole Background

We treat the Dirac operator on the Fuzzy sphere with the help of the generalized coherent state. It is shown that the derivatives can be constructed by Moyal product with symbol of the operator. We obtain the eigenvalue of the free fermion Dirac operator as same as the result by [Hajime Aoki, Satoshi Iso, and Kelichi Nagao, Phys. Rev.D67 (2003) 065018]. Meanwhile, we also give the eigenvalue of Dirac operator with U(1) Dirac monopole background.

作 者： XIONG Chuan-Hua YUE Rui-Hong   作者單位： Institute of Modern Physics, Northwest University, Xi'an 710069, China  刊 名： 理論物理通訊（英文版）  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2004 42(8)  分類號(hào)： O4  關(guān)鍵詞： noncommutativity   Dirac operator   Moyal product symbol  

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