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Bounding irrelevant operators in the 3d Gross-Neveu-Yukawa CFTs

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arxiv 2406.12974 v1 pith:4MLEFLGG submitted 2024-06-18 hep-th cond-mat.stat-mechcond-mat.str-elhep-lat

Matthew S. Mitchell , David Poland This is my paper
classification hep-thcond-mat.stat-mechcond-mat.str-elhep-lat
keywords boundsdimensionsgross-neveu-yukawaoperatorsscalarssinglettheoriesbootstrap
verification ladder T0 review T1 audit T2 compute T3 formal
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We perform a numerical bootstrap study of scalar operators in the critical 3d Gross-Neveu-Yukawa models, a family of conformal field theories containing N Majorana fermions in the fundamental representation of an O(N) global symmetry. We compute rigorous bounds on the scaling dimensions of the next-to-lowest parity-even and parity-odd singlet scalars at N = 2, 4, and 8. All of these dimensions have lower bounds greater than 3, implying that there are only two relevant singlet scalars and placing constraints on the RG flow structure of these theories.

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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. Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons

    cond-mat.str-el 2026-03 unverdicted novelty 7.0 of 10

    Mode-selective spin-phonon coupling of shear versus compression phonons produces a peak-dip-peak magnetothermal heat current in spin-orbit-coupled Mott insulators.

  2. 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.

  3. Redundancy Channels in the Conformal Bootstrap

    hep-th 2025-07 conditional novelty 7.0 of 10

    Redundant operators motivate spectral gaps that block accidental symmetry enhancement, yielding the first bootstrap island for the 3D cubic CFT that excludes the O(3) model.

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