One-dimensional classical adjoint SU(2) Coulomb Gas
High Energy Physics - Theory
2009-10-30 v1
Abstract
The equation of state of a one-dimensional classical nonrelativistic Coulomb gas of particles in the adjoint representation of SU(2) is given. The problem is solved both with and without sources in the fundamental representation at either end of the system. The gas exhibits confining properties at low densities and temperatures and deconfinement in the limit of high densities and temperatures. However, there is no phase transition to a regime where the string tension vanishes identically; true deconfinement only happens for infinite densities and temperatures. In the low density, low temperature limit, a new type of collective behavior is observed.
Cite
@article{arxiv.hep-th/9701105,
title = {One-dimensional classical adjoint SU(2) Coulomb Gas},
author = {Michael Engelhardt},
journal= {arXiv preprint arXiv:hep-th/9701105},
year = {2009}
}
Comments
6 pages, 1 postscript figure