CHERN-SIMONS CURRENTS AND CHIRAL FERMIONS ON THE LATTICE

被引：134

作者：

GOLTERMAN, MFL ^{[1
]}

JANSEN, K ^{[1
]}

KAPLAN, DB ^{[1
]}

机构：

[1] UNIV CALIF SAN DIEGO,DEPT PHYS,LA JOLLA,CA 92093

来源：

PHYSICS LETTERS B | 1993年 / 301卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0370-2693(93)90692-B

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute the Chern-Simons current induced by lattice fermions on a d(= 2n + 1)-dimensional lattice, using a topological interpretation of the fermion propagator as a map from the torus to the sphere, T(d) --> S(d). Our techniques clarify the dependence of the current on short-distance physics. We show explicitly that for Wilson fermions it changes discontinuously at d + 1 different values for the mass m. This result is relevant for a recently proposed model of chiral lattice fermions as zeromodes bound to a domain wall.

引用

页码：219 / 223

页数：5

共 19 条

[1] GAUGE-THEORY OF HIGH-TEMPERATURE SUPERCONDUCTORS AND STRONGLY CORRELATED FERMI SYSTEMS [J].