TL;DR
This paper reviews the challenges and recent progress in formulating chiral gauge theories on the lattice, focusing on anomaly cancellation, regularization methods, and the Ginsparg-Wilson relation.
Contribution
It provides a comprehensive overview of lattice regularization techniques for chiral gauge theories, emphasizing gauge invariance and anomaly considerations.
Findings
Successful gauge-invariant lattice regularization for anomaly-free theories
Implementation of Ginsparg-Wilson relation in chiral gauge theories
Connection between 4+1 dimensional Weyl fermions and lattice formulations
Abstract
Contents: 1. Introduction, 2. Chiral gauge theories & the gauge anomaly, 3. The regularization problem, 4. Weyl fermions from 4+1 dimensions, 5. The Ginsparg-Wilson relation, 6. Gauge-invariant lattice regularization of anomaly-free theories.
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