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Chern-Simons-Fermion Vector Model with Chemical Potential

Authors
  • Yokoyama, Shuichi
Type
Published Article
Publication Date
Jan 16, 2013
Submission Date
Oct 15, 2012
Identifiers
DOI: 10.1007/JHEP01(2013)052
Source
arXiv
License
Yellow
External links

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.

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