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The thermal bootstrap for the critical O(N) model

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arxiv 2411.00978 v3 pith:KNULSM5A submitted 2024-11-01 hep-th

classification hep-th
keywords modelcriticalfunctionsmethodresultsagreementapplybootstrap
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abstract

We propose a numerical method to estimate one-point functions and the free-energy density of conformal field theories at finite temperature by solving the Kubo-Martin-Schwinger condition for the two-point functions of identical scalars. We apply the method for the critical O(N) model for N = 1,2,3 in 3 $\leq$ d $\leq$ 4. We find agreement with known results from Monte Carlo simulations and previous results for the 3d Ising model, and we provide new predictions for N = 2,3.

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Cited by 9 Pith papers

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

  1. Neural Spectral Bias and Conformal Correlators I: Introduction and Applications

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    Simple feed-forward neural networks trained on crossing symmetry plus a single anchor value reproduce CFT correlators to percent-level accuracy, and the authors conjecture this works because physical correlators are t...

  2. OPE = QNM

    hep-th 2026-07 conditional novelty 7.5 of 10

    OPE and QNM representations of the mixed retarded correlator overlap in complex time, giving an explicit map, sum rules, and new QNM asymptotics for large-N thermal CFTs.

  3. Analytic thermal bootstrap in momentum space: From thermal OPE to QNMs

    hep-th 2026-07 accept novelty 7.0 of 10

    KMS-symmetric thermal Polyakov blocks Fourier-transform into asymptotic retarded correlators, yielding inversion formulae that express thermal OPE coefficients in terms of quasinormal-mode frequencies under meromorphicity.

  4. Heavy-Heavy-Light Asymptotics from Thermal Correlators

    hep-th 2025-06 accept novelty 7.0 of 10

    The authors derive and test systematic large-dimension asymptotics for heavy-heavy-light OPE coefficients in 3D CFTs from thermal one-point functions on S1 x S2.

  5. Spin-resolved double-trace thermal coefficients in holography

    hep-th 2026-07 accept novelty 6.0 of 10

    Zero-frequency bulk Heun solutions fix the residual spatial ambiguity left by KMS, yielding spin-resolved holographic double-trace thermal coefficients and canceling complex bulk-cone singularities.

  6. Neural Networks Reveal a Universal Bias in Conformal Correlators

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Simple neural networks trained on crossing symmetry and one anchor point reproduce conformal correlators to within a few percent across many CFTs.

  7. Imprint of the black hole interior on thermal four-point correlators

    hep-th 2025-12 conditional novelty 6.0 of 10

    Analytically continuing and smearing thermal four-point correlators turns them into flat-space scattering amplitudes at a bulk point inside the black hole.

  8. Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class

    hep-th 2025-08 conditional novelty 6.0 of 10

    High-truncation eta-minimization bootstrap yields accurate boundary critical amplitudes for the 3d O(N) normal universality class, resolving prior Monte Carlo discrepancies and giving new Ising boundary data.

  9. Thermal $n$-Point Conformal Blocks in Four Dimensions from Oscillator Representations

    hep-th 2025-07 conditional novelty 6.0 of 10

    New analytic formulas for four-dimensional thermal n-point conformal blocks are derived from oscillator representations, with a correct low-temperature limit to vacuum comb-channel blocks.

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