Bootstrapping the 3d Ising model at finite temperature

Luca Iliesiu, Murat Koloğlu, David Simmons-Duffin
2019 Journal of High Energy Physics  
We estimate thermal one-point functions in the 3d Ising CFT using the operator product expansion (OPE) and the Kubo-Martin-Schwinger (KMS) condition. Several operator dimensions and OPE coefficients of the theory are known from the numerical bootstrap for flat-space four-point functions. Taking this data as input, we use a thermal Lorentzian inversion formula to compute thermal one-point coefficients of the first few Regge trajectories in terms of a small number of unknown parameters. We
more » ... rameters. We approximately determine the unknown parameters by imposing the KMS condition on the two-point functions σσ and . As a result, we estimate the one-point functions of the lowest-dimension Z 2 -even scalar and the stress energy tensor T µν . Our result for σσ at finite-temperature agrees with Monte-Carlo simulations within a few percent, inside the radius of convergence of the OPE.
doi:10.1007/jhep12(2019)072 fatcat:vtikkfslevaglm4ms7it24truq