• Corpus ID: 119223003

Instability of Chern-Simons Theory with Fermions at Large N

  title={Instability of Chern-Simons Theory with Fermions at Large N},
  author={Chen Zhang},
  journal={arXiv: High Energy Physics - Theory},
  • Chen Zhang
  • Published 2 October 2016
  • Physics
  • arXiv: High Energy Physics - Theory
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… 


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