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Higher-spin currents in the Gross-Neveu model at $1/n^2$

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arxiv 1610.06938 v2 pith:FNACDCOL submitted 2016-10-21 hep-th cond-mat.stat-mech

A.N. Manashov , E.D. Skvortsov This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords higher-spinmodelcurrentsgross-neveudimensionssingletanomalouscalculate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the $1/n^2$ order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on $AdS_4$. The $AdS/CFT$ correspondence predicts that the masses of higher-spin fields correspond to the scaling dimensions of the singlet currents in the Gross-Neveu model.

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  1. Anomalous dimensions at small spins

    hep-th 2025-06 accept novelty 6.0 of 10

    The quadratic mass-correction combination of twist-two anomalous dimensions stays finite at small spin in the O(N) phi^4, phi^3, and Gross-Neveu-Yukawa models at the computed loop orders, enabling explicit resummations.

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