On the overlap formulation of chiral gauge theory
S. Randjbar-Daemi, J. Strathdee
TL;DR
This paper examines the overlap formulation of chiral gauge theories, constructs Green's functions, and verifies anomaly cancellation for a standard model family, contributing to the understanding of chiral gauge theory consistency.
Contribution
It provides explicit construction of Green's functions and confirms anomaly cancellation within the overlap formalism, advancing the theoretical foundation of chiral gauge theories.
Findings
Green's functions constructed in the overlap formalism
Four-dimensional anomalies calculated and verified
Anomaly cancellation confirmed for a standard quark-lepton family
Abstract
The overlap formula proposed by Narayanan and Neuberger in chiral gauge theories is examined. The free chiral and Dirac Green's functions are constructed in this formalism. Four dimensional anomalies are calculated and the usual anomaly cancellation for one standard family of quarks and leptons is verified.
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