1999/06/10 by Ting-Wai Chiu, Chiu, Ting-Wai
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #cond-mat #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-lat/9906007
Latex, 29 pages, 4 eps figures, references added and typo corrected
arxiv created 1999/07/11 · arxiv updated 2009/11/30
The fermion determinant and the chiral anomaly of lattice Dirac operator D on a finite lattice are investigated. The condition for D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition for D to have correct fermion determinant (ratio) which plays the important role of incorporating dynamical fermions in the functional integral. We outline a scheme for dynamical fermion simulation of lattice QCD with topologically proper D.