Fermion loop simulations in 2--d lattice theories -- results and limitations

TL;DR

This paper reviews fermion loop simulation results for the 2D lattice Gross--Neveu model, discussing potential extensions to other models and the limitations inherent in loop-type representations.

Contribution

It introduces a fermion loop simulation approach for the 2D Gross--Neveu model and analyzes its potential extensions and limitations.

Findings

Successful simulation of the 2D Gross--Neveu model using fermion loops

Discussion of how the technique can be extended to other models and dimensions

Identification of limitations in loop-type representations

Abstract

We review our results for the simulation of the 2--d lattice Gross--Neveu model in a fermion loop representation. Possible extensions of our techniques to other models and higher dimensions are discussed, as well as the limitations of loop--type representations.