Two-dimensional quantum Yang-Mills theory and the Makeenko-Migdal equations

TL;DR

This paper introduces 2-dimensional quantum Yang-Mills theory and reviews recent advances in understanding its large N limit, highlighting key theoretical developments over the past decade.

Contribution

It provides an accessible overview of the theory and summarizes recent significant results related to the large N limit of 2D quantum Yang-Mills.

Findings

Summarizes progress on large N limit in 2D quantum Yang-Mills

Highlights connections to mathematical physics and gauge theories

Provides foundational understanding for future research

Abstract

These notes, echoing a conference given at the Strasbourg-Zurich seminar in October 2017, are written to serve as an introduction to 2-dimensional quantum Yang-Mills theory and to the results obtained in the last five to ten years about its so-called large N limit.