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].

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

References in corpus (5)

• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Critical exponents of the 3d Ising and related models from Conformal Bootstrap
• Numerical determination of OPE coefficients in the 3D Ising model from off-critical correlators
• Numerical estimation of structure constants in the 3d Ising CFT through Markov chain UV sampler