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A new rigorous upper bound for the inverse critical temperature of the two-dimensional Coulomb gas
Authors:Gastão de Almeida Braga
Institution:(1) Departamento de Matemática-ICEX, Universidade Federal de Minas Gerais, Caixa Postal 1621, C. E. P. 31270 Belo Horizonte, M. G., Brazil
Abstract:In this paper we show how to improve the recent resultbeta c les17.2lambda on the inverse critical temperature for the two-dimensional Coulomb gas at low density to get the following upper bound:beta c les16lambda.
Keywords:Two-dimensional Coulomb gas  Kosterlitz-Thouless phase transition  inverse critical temperature  dipole phase  plasma phase  multiscaling expansion
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