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Critical exponent $\omega$ in the Gross-Neveu-Yukawa model at $O(1/N)$

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arxiv 1707.05275 v2 pith:EGV4TRSL submitted 2017-07-17 hep-th cond-mat.str-el

J.A. Gracey This is my paper
classification hep-thcond-mat.str-el
keywords exponentmodelcriticaldimensionsgross-neveugross-neveu-yukawaomegaagreement
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abstract

The critcal exponent $\omega$ is evaluated at $O(1/N)$ in $d$-dimensions in the Gross-Neveu model using the large $N$ critical point formalism. It is shown to be in agreement with the recently determined three loop $\beta$-functions of the Gross-Neveu-Yukawa model in four dimensions. The same exponent is computed for the chiral Gross-Neveu and non-abelian Nambu-Jona-Lasinio universality classes.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

    hep-th 2025-07 conditional novelty 7.0 of 10

    First five-loop renormalization group functions for the O(N) Gross-Neveu-Yukawa model, yielding refined, resummed critical exponent estimates for N=1, 2, and 5.

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

    hep-th 2026-03 accept novelty 6.0 of 10

    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.

  3. Central charges $C_J$ and $C_T$ in QED$_d$-GNY model and scalar QED$_d$

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Computes O(1/N) corrections to central charges C_J and C_T in conformal QED_d-GNY and scalar QED_d models, obtains scaling dimensions of adjoint bilinears, and finds reasonable agreement with SO(5) DQCP estimates from...

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