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Computation of Critical Exponent \eta at O(1/N^3) in the Four Fermi Model in Arbitrary Dimensions

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arxiv hep-th/9306107 v1 pith:QEOF5E6Y submitted 1993-06-21 hep-th

classification hep-th
keywords modelarbitrarydimensionsfermifouranomalousbootstrapcomputation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We solve the conformal bootstrap equations of the four fermi model or $O(N)$ Gross Neveu model to deduce the fermion anomalous dimension of the theory at $O(1/N^3)$ in arbitrary dimensions.

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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. Spontaneous Space-Time Parity Breaking Without Thermal Restoration

    hep-th 2025-07 conditional novelty 6.0 of 10

    A 2+1 dimensional QFT is constructed whose parity symmetry is unbroken at zero temperature but spontaneously breaks at all sufficiently high temperatures.

  3. 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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