English

The thermal bootstrap for the critical O(N) model

High Energy Physics - Theory 2025-06-16 v3

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.

Keywords

Cite

@article{arxiv.2411.00978,
  title  = {The thermal bootstrap for the critical O(N) model},
  author = {Julien Barrat and Enrico Marchetto and Alessio Miscioscia and Elli Pomoni},
  journal= {arXiv preprint arXiv:2411.00978},
  year   = {2025}
}

Comments

5 pages plus supplemental material, refs. updated

R2 v1 2026-06-28T19:44:58.222Z