Instability of Chern-Simons Theory with Fermions at Large N

Chen Zhang

Instability of Chern-Simons Theory with Fermions at Large N

High Energy Physics - Theory 2016-10-04 v1 High Energy Physics - Phenomenology

Authors: Chen Zhang

Abstract

We study the (in)stability around the dynamical gap solution of the $U(N)$ Chern-Simons gauge theory with fundamental fermions (massless or massive) coupled in $D=3$ at large $N$ . Explicit analyses on both the Auxiliary-Field (AF) and the Cornwall-Jackiw-Tomboulis (CJT) effective potentials are given. In both approaches we manage to analytically identify the saddle-point instability around the gap solution. We also give a comparison with the QCD-like theories. This study can help understanding the scale symmetry breaking picture of this theory.

Keywords

Chern-Simons theory large N limit dynamical gap solution saddle-point instability scale symmetry breaking

Cite

@article{arxiv.1610.00326,
  title  = {Instability of Chern-Simons Theory with Fermions at Large N},
  author = {Chen Zhang},
  journal= {arXiv preprint arXiv:1610.00326},
  year   = {2016}
}

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