The background field method and critical vector models

Mikhail Goykhman*, Vladimir Rosenhaus, Michael Smolkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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

Original languageAmerican English
Article number74
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).


  • 1/N Expansion
  • Conformal Field Theory
  • Field Theories in Lower Dimensions
  • Nonperturbative Effects


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