English

Non-Hermitian Fermion Mapping for One-Component Plasma

Statistical Mechanics 2015-06-25 v1

Abstract

The two-dimensional one-component logarithmic Coulomb gas is mapped onto a non-hermitian fermionic field theory. At β=2\beta=2, the field theory is free. Correlation functions are calculated and a perturbation theory is discussed for extending to other β\beta. A phase transition is found at the mean-field level at large β\beta. Some results are extended to spaces of constant negative curvature.

Keywords

Cite

@article{arxiv.cond-mat/9703006,
  title  = {Non-Hermitian Fermion Mapping for One-Component Plasma},
  author = {M. B. Hastings},
  journal= {arXiv preprint arXiv:cond-mat/9703006},
  year   = {2015}
}

Comments

12 pages, Latex