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arXiv · 2411.00978

The thermal bootstrap for the critical O(N) model

Julien Barrat·Enrico Marchetto·Alessio Miscioscia·Elli Pomoni
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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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Julien Barrat, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni. 2024-11-01. The thermal bootstrap for the critical O(N) model. https://doi.org/10.1103/physrevlett.134.211604

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