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Angular fractals in thermal QFT

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arxiv 2405.17562 v2 pith:DHGIYIHQ submitted 2024-05-27 hep-th

Nathan Benjamin , Jaeha Lee , Sridip Pal , David Simmons-Duffin , Yixin Xu This is my paper
classification hep-th
keywords functionthermalfreepartitionangulareffectiveenergynear
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abstract

We show that thermal effective field theory controls the long-distance expansion of the partition function of a $d$-dimensional QFT, with an insertion of any finite-order spatial isometry. Consequently, the thermal partition function on a sphere displays a fractal-like structure as a function of angular twist, reminiscent of the behavior of a modular form near the real line. As an example application, we find that for CFTs, the effective free energy of even-spin minus odd-spin operators at high temperature is smaller than the usual free energy by a factor of $1/2^d$. Near certain rational angles, the partition function receives subleading contributions from "Kaluza-Klein vortex defects" in the thermal EFT, which we classify. We illustrate our results with examples in free and holographic theories, and also discuss nonperturbative corrections from worldline instantons.

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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. 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.

  2. 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.

  3. 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.

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