Energy trapped Ising model

Abstract

In this paper we have considered the 3D Ising model perturbed with the energy operator coupled with a non uniform harmonic potential acting as a trap, showing that this system satisfies the trap-size scaling behavior. Eventually, we have computed the correlators $\langle \sigma (z) \sigma (0)\rangle$, $ \langle \epsilon (z) \epsilon (0)\rangle$ and $\langle \sigma (z) \epsilon (0)\rangle$ near the critical point by means of conformal perturbation theory. Combining this result with Monte Carlo simulations, we have been able to estimate the OPE coefficients $C^{\sigma}_{\sigma\epsilon}$, $C^{\epsilon}_{\sigma\sigma}$ and $C^{\epsilon}_{\epsilon\epsilon}$, finding a good agreement with the values obtained in [1,2].