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 $⟨\sigma (z)\sigma (0)⟩$, $⟨\epsilon (z)\epsilon (0)⟩$ and $⟨\sigma (z)\epsilon (0)⟩$ 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 $C_{\sigma \epsilon }^{\sigma }$, $C_{\sigma \sigma }^{\epsilon }$ and $C_{\epsilon \epsilon }^{\epsilon }$, finding a good agreement with the values obtained in [1,2].

arXiv comment17 pages, 5 figures; minor changes, version to appear on PRD

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Cited by in corpus (1)

• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions