Strong Coupling Lattice Schwinger Model on Large Spherelike Lattices

TL;DR

This paper investigates the strong coupling lattice Schwinger model using spherelike lattices to overcome simulation ergodicity issues, identifying a critical point with Ising universality class through large-scale Monte Carlo studies.

Contribution

It introduces a novel lattice topology approach to study the Schwinger model, enabling accurate critical behavior analysis in the strong coupling regime.

Findings

Identified a critical point with exponent ν=1

Confirmed the universality class as Ising or free fermions

Demonstrated the effectiveness of spherelike lattices in simulations

Abstract

The lattice regularized Schwinger model for one fermion flavor and in the strong coupling limit is studied through its equivalent representation as a restricted 8-vertex model. The Monte Carlo simulation on lattices with torus-topology is handicapped by a severe non-ergodicity of the updating algorithm; introducing lattices with spherelike topology avoids this problem. We present a large scale study leading to the identification of a critical point with critical exponent $\nu=1$, in the universality class of the Ising model or, equivalently, the lattice model of free fermions.