Variance of voltages in a lattice Coulomb gas

Abstract

We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit the duality between this model and a discrete Gaussian model. Our estimates follow from a spontaneous symmetry breaking in the latter model.

12 pages, 1 figure

Cited by in corpus (2)

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• The Discrete Gaussian model, I. Renormalisation group flow at high temperature