TL;DR
This paper explores a broader class of Dirac operators for massless fermions that satisfy generalized chiral symmetry, enabling the construction of Weyl fermions and chiral gauge theories beyond the Ginsparg-Wilson relation.
Contribution
It introduces a general construction for Dirac operators satisfying generalized chiral symmetry, expanding the framework for chiral lattice fermions beyond the Ginsparg-Wilson relation.
Findings
New class of Dirac operators constructed
Properly leads to Weyl fermions
Supports chiral gauge theories
Abstract
Instead of the Ginsparg-Wilson relation only generalized chiral symmetry is required. The resulting much larger class of Dirac operators for massless fermions is investigated and a general construction for them is given. It is also shown that the new class still leads properly to Weyl fermions and to chiral gauge theories.
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