The background field method and critical vector models

Mikhail Goykhman; Vladimir Rosenhaus; Michael Smolkin

doi:10.1007/JHEP02(2021)074

The background field method and critical vector models

Mikhail Goykhman, Vladimir Rosenhaus, Michael Smolkin

Racah Institute of Physics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	74
Journal	Journal of High Energy Physics
Volume	2021
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2021)074
State	Published - Feb 2021

Keywords

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

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1007/JHEP02(2021)074

Cite this

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title = "The background field method and critical vector models",

abstract = "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.",

keywords = "1/N Expansion, Conformal Field Theory, Field Theories in Lower Dimensions, Nonperturbative Effects",

author = "Mikhail Goykhman and Vladimir Rosenhaus and Michael Smolkin",

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doi = "10.1007/JHEP02(2021)074",

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AU - Rosenhaus, Vladimir

AU - Smolkin, Michael

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AB - 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.

KW - 1/N Expansion

KW - Conformal Field Theory

KW - Field Theories in Lower Dimensions

KW - Nonperturbative Effects

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DO - 10.1007/JHEP02(2021)074

M3 - مقالة

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 2

M1 - 74

ER -

The background field method and critical vector models

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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