Dynamical fermions by global acceptance steps

TL;DR

This paper explores a novel Metropolis acceptance correction method for including fermionic determinants in lattice simulations, demonstrated in the 2-D Schwinger model, to improve acceptance rates and handle problematic modes.

Contribution

It introduces a mixed stochastic/deterministic acceptance step that effectively manages problematic modes, enhancing the inclusion of fermionic determinants in simulations.

Findings

Mixed acceptance step improves acceptance rates

Method successfully handles problematic modes

Applicable to future Schrödinger functional studies

Abstract

A study of principle is conducted on the inclusion of the fermionic determinant as a Metropolis acceptance correction. It is carried out in the 2-D Schwinger model to prepare later applications to the Schr"odinger functional. A mixed stochastic/determistic acceptance step is found that allows to include some problematic modes in a way to avoid the collapse of the acceptance rate due to fluctuations.