Layered Phase Investigations

TL;DR

This paper explores the physical implications of extra dimensional defects in lattice theories, focusing on layered phases and their potential to improve Yang-Mills simulations and study topological charge fluctuations.

Contribution

It reviews layered phase phenomena and proposes methods to simulate Yang-Mills theories with fewer systematic errors and analyze layer topological charge fluctuations.

Findings

Layered phases can be generated by extra dimensional defects.

Potential to simulate Yang-Mills theories with reduced systematic errors.

Possibility to study fluctuations of layers' topological charge.

Abstract

The extra dimensional defects that are introduced to generate the lattice chiral zero modes are not simply a computational trick, but have interesting physical consequences. After reviewing what is known about the layered phase they can generate, I argue how it is possible to simulate Yang-Mills theories with reduced systematic errors and speculate on how it might be possible to study the fluctuations of the layers' topological charge.