The background field method and critical vector models

A bstract We use the background field method to systematically derive CFT data for the critical ϕ 6 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-leadin...

Full description

Saved in:

Bibliographic Details
Published in:	The journal of high energy physics Vol. 2021; no. 2; pp. 1 - 38
Main Authors:	Goykhman, Mikhail, Rosenhaus, Vladimir, Smolkin, Michael
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-02-2021 Springer Nature B.V SpringerOpen
Subjects:	1/N Expansion Classical and Quantum Gravitation Conformal Field Theory Elementary Particles Field Theories in Lower Dimensions High energy physics Nonperturbative Effects Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Three dimensional models Field Theories in Lower Dimensions 1 Expansion Conformal Field Theory Nonperturbative Effects
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	A bstract We use the background field method to systematically derive CFT data for the critical ϕ 6 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.
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP02(2021)074