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PreprintCC BY 4.0arXiv

Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model

  • Noam Borgnia
  • Jui-Hui Chung
  • Jacob Shapiro
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Abstract

We prove that the subcritical mass gap is comparable to the Lee-Yang gap over free-boundary square boxes raised to the power 8/15. Random-current moment bounds, a correlation inequality and a finite block expansion give the upper bound. The lower bound follows from the Lee-Yang product, the susceptibility and the critical magnetization. We also obtain uniform factorial bounds on the field derivatives of the pressure.

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Cite

BibTeXRIS
BibTeX
@misc{borgnia2026comparing,
  title = {{Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model}},
  author = {Noam Borgnia and Jui-Hui Chung and Jacob Shapiro},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25348},
  eprint = {2609.25348},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25348},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model
AU  - Noam Borgnia
AU  - Jui-Hui Chung
AU  - Jacob Shapiro
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25348
UR  - https://arxiv.org/abs/2609.25348
AB  - We prove that the subcritical mass gap is comparable to the Lee-Yang gap over free-boundary square boxes raised to the power 8/15. Random-current moment bounds, a correlation inequality and a finite block expansion give the upper bound. The lower bound follows from the Lee-Yang product, the susceptibility and the critical magnetization. We also obtain uniform factorial bounds on the field derivatives of the pressure.
ER  -