1999/11/08 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/9911010
34 pages, LaTeX, 4 eps figures, improved presentation
arxiv created 2000/04/01 · arxiv updated 2009/11/30
We show that even if a lattice Dirac operator satisfies the conditions consisting of locality, free of species doublings, correct continuum behavior, \gm5-hermiticity and the Ginsparg-Wilson relation, it does not necessarily have exact zero modes in nontrivial gauge backgrounds. This implies that each lattice Dirac operator has its own topological characteristics which cannot be fixed by these conditions. The role of topological characteristics in the axial anomaly is derived explicitly.