English

The background field method and critical vector models

High Energy Physics - Theory 2021-02-25 v2 Strongly Correlated Electrons

Abstract

We use the background field method to systematically derive CFT data for the critical ϕ6\phi^6 vector model in three dimensions, and the Gross-Neveu model in dimensions 2d42\leq d \leq 4. Specifically, we calculate the OPE coefficients and anomalous dimensions of various operators, up to next-to-leading order in the 1/N1/N expansion.

Cite

@article{arxiv.2009.13137,
  title  = {The background field method and critical vector models},
  author = {Mikhail Goykhman and Vladimir Rosenhaus and Michael Smolkin},
  journal= {arXiv preprint arXiv:2009.13137},
  year   = {2021}
}

Comments

v2: references added (published version)

R2 v1 2026-06-23T18:50:19.759Z