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： O4  關(guān)鍵詞： noncommutativity   Dirac operator   Moyal product symbol  

【Dirac Operator on Fuzzy Sphere with 】相關(guān)文章：

Fuzzy推理的Mamdani算法04-27

乘積Poisson流形上的零Dirac結(jié)構(gòu)04-27

Summability results for operator matrices on topological vector spaces04-27

局部緊Hausdorff空間上的Fuzzy測度04-26

FUZZY COMPREHENSIVE EVALUATION MODEL OF ECOLOGICAL DEMONSTRATION AREA04-25

Fuzzy判斷矩陣的一致性研究04-27

Fuzzy Multiple Attribute Decision Making for Evaluating Aggregate Risk in Green Manufacturing04-26

Fuzzy格的同余中理想及其W-中理想04-27

Category Theoretic Properties of Topological Structures and Proximity Structures on L-fuzzy Space04-26

Fuzzy-AHP在LNG接收站風(fēng)險辨識中的應(yīng)用04-25