Annealed lower tails for the energy of a polymer

TL;DR

This paper investigates the lower tail behavior of the energy distribution in a charged polymer model, providing insights into the temperature scale of the Gibbs measure in dimensions three and higher.

Contribution

It introduces a detailed analysis of the lower tails of polymer energy, establishing the correct temperature scale for the Gibbs measure in higher dimensions.

Findings

Characterization of lower tail behavior in polymer energy

Identification of the temperature scale for Gibbs measure

Results valid in dimensions three and above

Abstract

We consider the energy of a randomly charged polymer. We assume that only charges on the same site interact pairwise. We study the lower tails of the energy, when averaged over both randomness, in dimension three or more. As a corollary, we obtain the correct temperature-scale for the Gibbs measure.