The thermal bootstrap for the critical O(N) model
Julien Barrat, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni
TL;DR
This paper introduces a numerical approach to compute thermal properties of conformal field theories, successfully applying it to the critical O(N) model and validating results against existing data.
Contribution
The paper develops a novel numerical method for estimating thermal one-point functions and free energy in conformal field theories at finite temperature.
Findings
Agreement with Monte Carlo results for N=1,2,3
New predictions for N=2,3 in 3d
Validated method for critical O(N) models
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 d 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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