The GHS inequality for the Potts Model

2010/06/16 by Sérgio de Carvalho Bezerra, Sergio de Carvalho Bezerra, Bezerra, Sergio de Carvalho
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #math.PR #msc:60K35 #msc:82B99

paper · pdf · doi:10.48550/arxiv.1006.3300

Potts model, GHS inequality and local magnetization

arxiv created 2010/06/16 · arxiv updated 2010/06/17

Abstract

In this note we are concerned about the generalization of the GHS inequality for the Potts model. We also obtain by a different method the proof of the GHS inequality for the Ising model. We take advantage of a polynomial expansion and we derive that some of the variables of the polynomial can be separated

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