Continuum reduction in large N gauge theories

TL;DR

This paper provides a pedagogical overview of continuum reduction in large N gauge theories, explaining key concepts like the Gross-Witten transition and Eguchi-Kawai reduction, and discusses numerical methods for fermionic observables.

Contribution

It offers a clear, educational synthesis of continuum reduction, including detailed explanations of theoretical transitions and numerical approaches in large N gauge theories.

Findings

Clarified the Gross-Witten transition and Eguchi-Kawai reduction.

Described numerical techniques for fermionic observables.

Connected theoretical concepts with computational methods.

Abstract

These are notes associated with three lectures given at the 49th Cracow School of Theoretical physics where a pedagogical explanation of the Gross-Witten transition, Eguchi-Kawai reduction and continuum reduction were given, followed by a description of the numerical computation of fermionic observables in the 't Hooft limit of large N gauge theory.