SU(N) gauge theories at large N

TL;DR

This paper reviews the theoretical and lattice study advancements in SU(N) gauge theories at large N, highlighting the conceptual developments, non-perturbative formulations, and recent results from simulations extrapolated to the 't Hooft limit.

Contribution

It provides a comprehensive overview of large N gauge theories, including recent lattice results and their implications for understanding non-Abelian gauge theories.

Findings

Lattice studies of SU(N) theories with varying N

Extrapolation results to the large N limit

Insights into non-perturbative aspects of gauge theories

Abstract

We review the theoretical developments and conceptual advances that stemmed from the generalization of QCD to the limit of a large number of color charges, originally proposed by 't Hooft. Then, after introducing the gauge-invariant non-perturbative formulation of non-Abelian gauge theories on a spacetime lattice, we present a selection of results from recent lattice studies of theories with a different number of colors, and the findings obtained from their extrapolation to the 't Hooft limit. We conclude with a brief discussion and a summary.