Superconductivity and Chiral Symmetry Breaking with Fermion Clusters

TL;DR

This paper explores the use of cluster variables to study fermionic models, confirming a superconducting transition in a Hubbard model and proposing a cluster algorithm for lattice gauge theories with staggered fermions.

Contribution

It introduces a cluster algorithm for strongly coupled lattice gauge theories with staggered fermions, extending the application of cluster variables in fermionic systems.

Findings

Confirmed superconducting transition in a 2D Hubbard model

Developed a cluster algorithm for lattice gauge theories

Demonstrated the potential of cluster variables in fermionic models

Abstract

Cluster variables have recently revolutionized numerical work in certain models involving fermionic variables. This novel representation of fermionic partition functions is continuing to find new applications. After describing results from a study of a two dimensional Hubbard type model that confirm a superconducting transition in the Kosterlitz-Thouless universality class, we show how a cluster type algorithm can be devised to study the chiral limit of strongly coupled lattice gauge theories with staggered fermions.