Recent results on large N gauge theories on a single site lattice with adjoint fermions

TL;DR

This paper discusses recent numerical studies of large N gauge theories with adjoint fermions on a single-site lattice, comparing algorithms for simulating fermionic forces and presenting results from both methods.

Contribution

It introduces and compares algorithms for simulating large N gauge theories with adjoint fermions on a reduced lattice, highlighting the use of pseudo fermions in Hybrid Monte Carlo.

Findings

Both algorithms successfully simulate the theory.

Pseudo fermions offer computational advantages.

Results demonstrate the feasibility of single-site lattice simulations.

Abstract

Large N gauge theories with adjoint matter can be numerically studied using lattice techniques. Eguchi-Kawai reductions holds for this theory and one can reduce the lattice model to a single site. Hybrid Monte Carlo algorithm can be used to simulate this model. One can either perform an exact computation of the "fermionic force" or use pseudo fermions as part of the HMC algorithm. The former algorithm is slower than the latter but has the advantage that one can work with any real number for the fermion flavor. Some results using both algorithms will be presented.