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PreprintarXiv licencearXiv

Semi-Universality of O(N) model on S1× S2

  • Vinayak Mishra
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Abstract

We study the thermal partition function of the critical large-N O(N) model on rotating S1× S2. Rotation makes the saddle latitude dependent, with its leading profile governed by the local temperature. Using a Weyl-covariant hydrostatic expansion, we determine the partition function through four-derivative order in high-temperature and semi-universal limits. In the near-light-speed limit, the geometry around the equator reduces to a pp-wave and captures the expected semi-universal behavior of the partition function. We compute the corresponding theory-dependent residue directly on this limiting geometry, both at high and low temperatures. The high-temperature result agrees with the near-light-speed limit of the sphere calculation, while the low-temperature expansion reveals interaction-dependent corrections arising from the response of the saddle to the thermal source.

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Cite

BibTeXRIS
BibTeX
@misc{mishra2026semiuniversality,
  title = {{Semi-Universality of $O(N)$ model on $S^1\times S^2$}},
  author = {Vinayak Mishra},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25622},
  eprint = {2609.25622},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25622},
}
RIS
TY  - UNPB
TI  - Semi-Universality of O(N) model on S^1× S^2
AU  - Vinayak Mishra
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.25622
UR  - https://arxiv.org/abs/2609.25622
AB  - We study the thermal partition function of the critical large-N O(N) model on rotating S^1× S^2. Rotation makes the saddle latitude dependent, with its leading profile governed by the local temperature. Using a Weyl-covariant hydrostatic expansion, we determine the partition function through four-derivative order in high-temperature and semi-universal limits. In the near-light-speed limit, the geometry around the equator reduces to a pp-wave and captures the expected semi-universal behavior of the partition function. We compute the corresponding theory-dependent residue directly on this limiting geometry, both at high and low temperatures. The high-temperature result agrees with the near-light-speed limit of the sphere calculation, while the low-temperature expansion reveals interaction-dependent corrections arising from the response of the saddle to the thermal source.
ER  -