MATHEMATICAL DERIVATION OF CHIRAL ANOMALY IN LATTICE GAUGE-THEORY WITH WILSONS ACTION

Authors
HATTORI T WATANABE H
Citation
T. Hattori et H. Watanabe, MATHEMATICAL DERIVATION OF CHIRAL ANOMALY IN LATTICE GAUGE-THEORY WITH WILSONS ACTION, Journal of mathematical physics, 39(9), 1998, pp. 4449-4475
Citations number
13
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
39
Issue
9
Year of publication
1998
Pages
4449 - 4475
Database
ISI
SICI code
0022-2488(1998)39:9<4449:MDOCAI>2.0.ZU;2-G
Abstract
Chiral U(1) anomaly is derived with, mathematical rigor for a Euclidea n fermion coupled to a smooth external U(1) gauge-field on an even dim ensional torus as a continuum limit of lattice regularized fermion hel d theory With the Wilson term in the action. The present work rigorous ly proves for the Institute that the Wilson term correctly reproduces the chiral anomaly. (C) 1998 American Institute of Physics.