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

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