TING-WAI CHIU2018-09-102018-09-10199903702693http://www.scopus.com/inward/record.url?eid=2-s2.0-0347877241&partnerID=MN8TOARShttp://scholars.lib.ntu.edu.tw/handle/123456789/349694The axial anomaly of Ginsparg-Wilson fermion operator D is discussed in general for the operator R which enters the chiral symmetry breaking part in the Ginsparg-Wilson relation. The axial anomaly and the index of D as well as the exact realization of the Atiyah-Singer index theorem on the lattice are determined solely by the topological characteristics of the chirally symmetric operator Dc in the chiral limit R → 0. © 1999 Published by Elsevier Science B.V. All rights reserved.journal article10.1016/S0370-2693(98)01511-12-s2.0-0347877241WOS:000078164900019