TL;DR
This paper introduces a new formulation for chiral gauge theories that allows for more general Dirac operator spectra and detailed analysis of chiral projections, zero modes, and basis transformations.
Contribution
It provides a novel formulation of chiral gauge theories with broader Dirac spectra and detailed structure of chiral projections, applicable to zero modes and various indices.
Findings
New formulation of chiral gauge theories with generalized Dirac spectra
Analysis of basis equivalence classes and transformation properties
Correlation functions applicable in presence of zero modes
Abstract
We present a formulation of chiral gauge theories, which admits more general spectra of Dirac operators and reveals considerably more possibilities for the structure of the chiral projections. Our two forms of correlation functions both also apply in the presence of zero modes and for any value of the index. The decomposition of the total set of pairs of bases into equivalence classes is carefully analyzed. Transformation properties are derived.
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