An Analytic Study of the Phase Structure of Lattice QCD with Wilson Fermions at Infinitely Strong Coupling

TL;DR

This paper analytically investigates the phase structure of lattice QCD with Wilson fermions at infinite coupling, providing bounds for the critical hopping parameter that support previous simulation results.

Contribution

It offers rigorous bounds for the critical hopping parameter at infinite coupling using a convergent expansion, confirming earlier Monte Carlo findings.

Findings

Bounds for critical hopping parameter $k_c(0)$ support $\frac{1}{4}$ value

Analytic approach corroborates Monte Carlo results

Provides rigorous theoretical support for phase transition point

Abstract

The phase structure of lattice QCD with two flavors and Wilson fermions is studied analytically. At $\beta=0$ we obtain rigorous lower and upper bounds for the critical hopping parameter $k_c(0)$ from a convergent hopping parameter expansion to infinite order. The result supports the value $k_c(0)=\frac{1}{4}$ observed in Monte Carlo simulations.