Regularizations, anomalies and fermion number nonconservation in chiral gauge theories

DOI10.1142/S0217751X93002228zbMATH Open0985.81599arXivhep-lat/9205025OpenAlexW3102519051MaRDI QIDQ2775157

Sinya Aoki

Publication date: 26 February 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/hep-lat/9205025

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)

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