Aspects of Chiral Symmetry and the Lattice

TL;DR

This paper discusses the complex interplay of chiral symmetry, anomalies, and lattice gauge theory, proposing an innovative lattice scheme involving an auxiliary extra dimension to better understand non-perturbative phenomena in particle physics.

Contribution

It introduces a novel lattice formulation using an auxiliary extra dimension to study chiral symmetry and anomalies non-perturbatively.

Findings

Effective chiral Lagrangians provide insights into lattice models.

The proposed scheme offers a new way to explore CP violation and chiral symmetry on the lattice.

Abstract

I explore the non-perturbative issues entwining lattice gauge theory, anomalies, and chiral symmetry. After briefly reviewing the importance of chiral symmetry in particle physics, I discuss how anomalies complicate lattice formulations. Considerable information can be deduced from effective chiral Lagrangians, helping interpret the expectations for lattice models and elucidating the role of the CP violating parameter $\Theta$. I then turn to a particularly elegant scheme for exploring this physics on the lattice. This uses an auxiliary extra space-time dimension, with the physical world being a four dimensional interface.