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arXiv 2007.07150hep-thcond-mat.stat-mech
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能陷伊辛模型

Energy trapped Ising model

Andrea Amoretti, Gianluca Costagliola, Nicodemo Magnoli, Marcello Scanavino

摘要:

本文研究了三维伊辛模型在能量算符与非均匀调和势耦合作用下的微扰,证明了该模型满足陷阱尺度标度行为。最后,我们用共形微扰理论计算了临界点附近的微扰子$\langle σ(z) σ(0)\rangle$,$ \langle ε(z) ε(0)\rangle$和$\langle σ(z) ε(0)\rangle$.结合蒙特卡罗模拟,我们已经能够估计OPE系数$C^σ_{σε}$,$C^ε_{σσ}$和$C^ε_{εε}$,发现与[1,2]中得到的值很好的一致。

英文摘要:

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].

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