A Cluster Expansion for Dipole Gases

TL;DR

This paper presents a new proof for the upper bound on the correlation function of a dipole gas, using a charge representation instead of the traditional sine-Gordon approach.

Contribution

It introduces a novel proof technique for dipole gases by working directly in the charge representation, offering an alternative to the sine-Gordon method.

Findings

Established a new proof for the correlation function bound.

Demonstrated the effectiveness of charge representation in dipole gas analysis.

Provided insights that could simplify future studies of dipole gases.

Abstract

We give a new proof of the well-known upper bound on the correlation function of a gas of non-overlapping dipoles of fixed length and discrete orientation working directly in the charge representation, instead of the more usual sine-Gordon representation.