Lattice Chiral Gauge Theories
Maarten Golterman (Washington U.)
TL;DR
This paper reviews recent progress in non-perturbative lattice construction of chiral gauge theories, discussing three approaches including gauge invariant and non-invariant methods, and highlighting open challenges.
Contribution
It provides a comparative overview of three different lattice approaches to chiral gauge theories, emphasizing recent advancements and unresolved issues.
Findings
Progress in gauge invariant fermion methods using Ginsparg-Wilson relation
Development of gauge non-invariant approaches with different cutoffs and gauge fixing
Identification of open problems in all three approaches
Abstract
I review the substantial progress which has been made recently with the non-perturbative construction of chiral gauge theories on the lattice. In particular, I discuss three different approaches: a gauge invariant method using fermions which satisfy the Ginsparg-Wilson relation, and two gauge non-invariant methods, one using different cutoffs for the fermions and the gauge fields, and one using gauge fixing. Open problems within all three approaches are addressed.
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