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Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class

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arxiv 1801.01320 v2 pith:RIEGMJOW submitted 2018-01-04 hep-th cond-mat.str-el

J.A. Gracey This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords exponentslargeagreementchiralcriticaldimensionsfourgross-neveu
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the large $N$ critical exponents $\eta$, $\eta_\phi$ and $1/\nu$ in $d$-dimensions in the chiral Heisenberg Gross-Neveu model to several orders in powers of $1/N$. For instance, the large $N$ conformal bootstrap method is used to determine $\eta$ at $O(1/N^3)$ while the other exponents are computed to $O(1/N^2)$. Estimates of the exponents for a phase transition in graphene are given which are shown to be commensurate with other approaches. In particular the behaviour of the exponents in $2$ $<$ $d$ $<$ $4$ is in qualitative agreement with a functional renormalization group analysis. The $\epsilon$-expansion of the exponents near four dimensions are in agreement with recent four loop perturbation theory.

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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. $F$-extremization determines certain large-$N$ CFTs

    hep-th 2024-12 conditional novelty 7.0 of 10

    Melonic large-N CFTs are exactly the conformal mean field theories that extremize the universal part of the sphere free energy under linear IR marginality constraints.

  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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