# 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.

## Key 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.