Resurrecting the coherent state variational algorithm for large $N$ gauge theories

TL;DR

This paper revisits and advances the coherent state variational method for studying large N gauge theories, introducing a new implementation applicable to SU(N) lattice gauge theories in multiple dimensions, with initial results for 2D Yang-Mills.

Contribution

It presents a novel implementation of the coherent state variational approach for large N gauge theories, extending its applicability to higher dimensions and fermionic theories.

Findings

Successful application to SU(N) lattice gauge theories in up to four dimensions

Initial results demonstrating feasibility for Hamiltonian Yang-Mills on infinite 2D lattices

Method shows promise for studying large N QCD-like theories numerically

Abstract

The feasibility of studying, numerically, properties of infinite volume QCD-like theories in the large $N$ limit using coherent state variational methods is reassessed. An entirely new implementation of this approach is described, applicable to SU($N$) lattice gauge theories, with or without fundamental representation fermions, on cubic lattices of up to four dimensions. In addition to various test cases, initial results are presented for Hamiltonian Yang-Mills theory on an infinite two-dimensional spatial lattice.