Chern-Simons-Fermion Vector Model with Chemical Potential
High Energy Physics - Theory
2013-01-17 v2 Statistical Mechanics
Abstract
We study SU(N) level k Chern-Simons theories coupling to a fundamental fermion with chemical potential for U(1) flavor symmetry. We solve this system exactly in the 't Hooft limit, N,k\to\infty with \lambda = N/k fixed. The solution exists up to |\lambda|=1 for a fixed value of chemical potential. We study the system beyond |\lambda|=1 by considering U(N) gauge group and taking the diagonal U(1) holonomy into account. The result suggests the system becomes unstable and a phase transition happens at |\lambda|=1.
Cite
@article{arxiv.1210.4109,
title = {Chern-Simons-Fermion Vector Model with Chemical Potential},
author = {Shuichi Yokoyama},
journal= {arXiv preprint arXiv:1210.4109},
year = {2013}
}
Comments
12 pages, 5 figures, v2: a note in Introduction, comments in Section 4, a reference and acknowledgement added