Mathematical aspects of chiral gauge theories on the lattice
Herbert Neuberger (Rutgers)
TL;DR
This paper reviews recent mathematical developments in formulating chiral gauge theories on the lattice, focusing on the overlap formalism that overcomes previous symmetry realization challenges.
Contribution
It presents new mathematical insights into the overlap approach, enabling chiral symmetries to be realized in lattice field theories.
Findings
Mathematical structure of the overlap formalism clarified
Chiral symmetries can be realized on the lattice
Advances resolve longstanding belief about lattice chiral gauge theories
Abstract
For two decades it was believed that chiral symmetries cannot be realized in lattice field theory but this has changed now. Highlights of these new developments will be presented with emphasis on the mathematical structure of the so called ``overlap''.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics · Particle physics theoretical and experimental studies