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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.
Barrat et al. (Fri,) studied this question.
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