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arXiv · 2009.13137

The background field method and critical vector models

Mikhail Goykhman·Vladimir Rosenhaus·Michael Smolkin
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Abstract

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 $2\leq d \leq 4$. Specifically, we calculate the OPE coefficients and anomalous dimensions of various operators, up to next-to-leading order in the $1/N$ expansion.

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Mikhail Goykhman, Vladimir Rosenhaus, Michael Smolkin. 2021-02-24. The background field method and critical vector models. https://doi.org/10.1007/jhep02(2021)074

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