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The background field method and critical vector models (2009.13137v2)
Published 28 Sep 2020 in hep-th and cond-mat.str-el
Abstract: We use the background field method to systematically derive CFT data for the critical $\phi6$ 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.