中国物理B ›› 2003, Vol. 12 ›› Issue (12): 1374-1377.doi: 10.1088/1009-1963/12/12/006

• THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS • 上一篇    下一篇

Topological susceptibility from overlap fermion

应和平, 张剑波   

  1. Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2003-02-10 修回日期:2003-04-01 出版日期:2005-03-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10235040).

Topological susceptibility from overlap fermion

Ying He-Ping (应和平), Zhang Jian-Bo (张剑波)   

  1. Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China
  • Received:2003-02-10 Revised:2003-04-01 Online:2005-03-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10235040).

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摘要： We numerically calculate the topological charge of the gauge configurations on a finite lattice by the fermionic method with overlap fermions. By using the lattice index theorem, we identify the index of the massless overlap fermion operator to the topological charge of the background gauge configuration. The resulting topological susceptibility χ is in good agreement with the anticipation made by Witten and Veneziano.

Abstract: We numerically calculate the topological charge of the gauge configurations on a finite lattice by the fermionic method with overlap fermions. By using the lattice index theorem, we identify the index of the massless overlap fermion operator to the topological charge of the background gauge configuration. The resulting topological susceptibility χ is in good agreement with the anticipation made by Witten and Veneziano.

Key words: lattice QCD, topological charge, overlap fermion

中图分类号:  (Lattice gauge theory)

  • 11.15.Ha
12.38.Gc (Lattice QCD calculations) 02.60.-x (Numerical approximation and analysis)