A numerical attempt on the Chiral Schwinger Model

TL;DR

This paper presents a lattice simulation of the chiral Schwinger model using the Wilson-fermion formulation and complex Langevin algorithm, demonstrating its stability with complex fermion determinants.

Contribution

It introduces a lattice simulation approach for the chiral Schwinger model employing complex Langevin dynamics with gauge fixing, providing initial results on its effectiveness.

Findings

Complex Langevin algorithm is stable with complex fermion determinants.

Simulation performed both with and without gauge fixing.

Preliminary results show promising behavior of the method.

Abstract

The chiral Schwinger model is formulated in the wilson-fermion formulation on the lattice and then simulated by the complex langevin algorithm. The simulation is done both without and with gauge fixing to the Lorentz gauge for the compact gauge links. Some preliminary results are presented which indicate that the complex langevin is well behaving with the complex chiral fermion determinant.