Tunneling and the Spectrum of the Potts Model

dc.creatorWang, Jing-Dong
dc.creatorDeTar, Carleton
dc.date1992-06-22
dc.date.accessioned2026-07-07T11:34:35Z
dc.date.available2026-07-07T11:34:35Z
dc.descriptionThe three-dimensional, three-state Potts model is studied as a paradigm for high temperature quantum chromodynamics. In a high statistics numerical simulation using a Swendson-Wang algorithm, we study cubic lattices of dimension as large as $64^3$ and measure correlation functions on long lattices of dimension $20^2\times 120$ and $30^2\times 120$. These correlations are controlled by the spectrum of the transfer matrix. This spectrum is studied in the vicinity of the phase transition. The analysis classifies the spectral levels according to an underlying $S_3$ symmetry. Near the phase transition the spectrum agrees nicely with a simple four-component hamiltonian model. In the context of this model, we find that low temperature ordered-ordered interfaces nearly always involve a disordered phase intermediate. We present a new spectral method for determining the surface tension between phases.
dc.description26 pages plus 13 Postscript figures (Axis versions also provided), UU-HEP-92/4
dc.identifierhttps://arxiv.org/abs/hep-lat/9206017
dc.identifierhttp://arxiv.org/abs/hep-lat/9206017
dc.identifierPhys.Rev.D47:4091-4101,1993
dc.identifierdoi:10.1103/PhysRevD.47.4091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198301
dc.subjectHigh Energy Physics - Lattice
dc.titleTunneling and the Spectrum of the Potts Model
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