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Correction exponents in the Gross - Neveu - Yukawa model at 1/N²

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arxiv 1711.02493 v1 pith:RA7MTGYZ submitted 2017-11-07 hep-th cond-mat.stat-mech

Correction exponents in the Gross - Neveu - Yukawa model at 1/N²

classification hep-th cond-mat.stat-mech
keywords exponentsmodelaccuracycriticalgrossneveuresultsyukawa
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the critical exponents $\omega_\pm$ in the $d$-dimensional Gross-Neveu model in $1/N$ expansion with $1/N^2$ accuracy. These exponents are related to the slopes of the $\beta$-functions at the critical point in the Gross - Neveu - Yukawa model. They have been computed recently to four loops accuracy. We checked that our results are in complete agreement with the results of the perturbative calculations.

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  1. Correction exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixing

    hep-th 2026-03 accept novelty 6.0

    Correction exponents at 1/N^{2} in the chiral Heisenberg model agree with 4−ε results but one pole at d=3 is resummed via four-fermion mixing, modifying leading-order 3D exponents consistently with direct calculation.