Effective string theory description of the interface free energy - High Energy Physics - LatticeReport as inadecuate




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Abstract: We compare the predictions of the Nambu-Goto effective string model with aset of high precision Monte Carlo results for interfaces with periodic boundaryconditions in the 3D Ising model. We compute the free energy in the covariantgauge exactly, up to the inclusion of the Liouville mode. The perturbativeexpansion of this result agrees both with the result evaluated several yearsago by Dietz and Filk in the physical gauge and with a recent calculation withthe Polchinski-Strominger action. We also derive the effective string spectrumwhich, because of the different boundary conditions, is very different from thewell known one of Arvis. Taking into proper account the effective stringcorrections and exploiting some technical improvements in the simulations weobtain precise estimate of the amplitude ratios T c-\sqrt{sigma},m {0++}-\sqrt{\sigma} and sigma xi {2nd}^2. We also discuss the behaviour ofthe effective string free energy in the dimensional reduction limit i.e., nearthe deconfinement transition of the dual 3d gauge Ising model and itsrelationship with the 2d Ising model interfaces



Author: M.Billo, M.Caselle, L.Ferro, M.Hasenbusch, M.Panero

Source: https://arxiv.org/







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