 96624 Aldo Procacci, Emmanuel Pereira, Armando G. M. Neves, Domingos H. U. Marchetti
 Coulomb Interaction Symmetries and the Mayer Series in the
TwoDimensional Dipole Gas
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Nov 25, 96

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Abstract. We study the Mayer series of the twodimensional dipole
gas in the high temperaturelow density regime. Without performing
any multiscale analysis, we obtain bounds showing that the Mayer
coefficients are finite in the thermodynamic limit. These bounds are
obtained by exploiting a particular partial symmetry of the interaction
(which we name {\it $\theta$symmetry}), already used in some problems
related to the twodimensional Coulomb gas. By direct bounds on some
Mayer graphs we also conjecture that any technique based
uniquely on the $\theta$symmetry will not be sufficient to prove
analyticity of the series.
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