$\epsilon$-Expansion in the Gross-Neveu Model from Conformal Field Theory

Sudip Ghosh; Rajesh Kumar Gupta; Kasi Jaswin; Amin A. Nizami

doi:10.1007/JHEP03(2016)174

$\epsilon$-Expansion in the Gross-Neveu Model from Conformal Field Theory

High Energy Physics - Theory 2016-04-20 v2

Authors: Sudip Ghosh , Rajesh Kumar Gupta , Kasi Jaswin , Amin A. Nizami

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Abstract

We compute the anomalous dimensions of a class of operators of the form $(\bar\psi\psi)^p$ and $(\bar\psi\psi)^p\psi$ to leading order in $\epsilon$ in the Gross-Neveu model in $2+\epsilon$ dimensions. We use the techniques developed in arXiv: 1505.00963.

Keywords

epsilon expansion gross-neveu model conformal field theory anomalous dimensions composite operators 2+epsilon dimensions

Cite

@article{arxiv.1510.04887,
  title  = {$\epsilon$-Expansion in the Gross-Neveu Model from Conformal Field Theory},
  author = {Sudip Ghosh and Rajesh Kumar Gupta and Kasi Jaswin and Amin A. Nizami},
  journal= {arXiv preprint arXiv:1510.04887},
  year   = {2016}
}

Comments

16 pages, some explanations in section 2 improved, references added and typos corrected

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