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Energy trapped Ising model

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 $\langle σ(z) σ(0)\rangle$, $ \langle ε(z) ε(0)\rangle$ and $\langle σ(z) ε(0)\rangle$ 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 $C^σ_{σε}$, $C^ε_{σσ}$ and $C^ε_{εε}$, finding a good agreement with the values obtained in [1,2].