Regularizations, Anomalies and Fermion Number Non-Conservation in Chiral Gauge Theories

Details Regularizations, Anomalies and Fermion Number Non-Conservation in Chiral Gauge Theories Regularizations, Anomalies and Fermion Number Non-Conservation in Chiral Gauge Theories

1992-05-27

arxiv.org/abs/hep-lat/9205025v1

Int. J. Mod. Phys. A8 (1993) 5629-5640

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages(Tex, no figures)

Scientific paper

We study how fermion number conservation fails in fermion number preserving regularization schemes. We show that the fermion number have to be carried by the gauge field configurations with non-zero winding number in this scheme and this fermion number is not conserved in the presence of instantons. We also consider other types of regularization scheme which have different global symmetries. In particular, we point out that the fermion number is conserved in the lattice chiral gauge theories with the Wilson-Yukawa coupling.

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