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
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
收藏
页码:219 / 223
页数:5
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