English

Dual representation for massless fermions with chemical potential and U(1) gauge fields

High Energy Physics - Lattice 2015-12-04 v1 Strongly Correlated Electrons

Abstract

Complex action problems coming from either a chemical potential or a topological term have been solved for several models in recent years by mapping them to so-called dual degrees of freedom. In terms of these dual variables the partition sum has only real and positive contributions such that a Monte Carlo simulation is possible. In this paper we discuss a dual representation for massless staggered fermions in two dimensions coupled to a U(1) gauge field. We include a topological term, and for the case of several flavors with vanishing total charge also a chemical potential. We show that the real and positive dualization can also be generalized to a system of nanowires (1+1 dimensional fermions) coupled to a 3+1 dimensional U(1) gauge field.

Keywords

Cite

@article{arxiv.1512.00995,
  title  = {Dual representation for massless fermions with chemical potential and U(1) gauge fields},
  author = {Christof Gattringer and Thomas Kloiber and Vasily Sazonov},
  journal= {arXiv preprint arXiv:1512.00995},
  year   = {2015}
}

Comments

PoS(LATTICE 2015)195