Simulating Wilson fermions without critical slowing down

TL;DR

This paper introduces a novel simulation algorithm for Wilson fermions that removes critical slowing down by using an exact hopping expansion, enabling efficient massless limit simulations in models like Gross-Neveu and Schwinger.

Contribution

The paper presents an exact hopping expansion-based algorithm that eliminates critical slowing down in Wilson fermion simulations, allowing direct massless limit computations.

Findings

Algorithm effectively removes critical slowing down.

Enables direct simulations at the massless limit.

Successfully applied to Gross-Neveu and Schwinger models.

Abstract

We present a simulation algorithm for Wilson fermions based on the exact hopping expansion of the fermion action. The algorithm essentially eliminates critical slowing down by sampling the fermionic two-point correlation function and it allows simulations directly in the massless limit. As illustrative examples, the algorithm is applied to the Gross-Neveu and the Schwinger model, the latter in the strong coupling limit.