Functional-integral approach to Coulomb fluids in the strong coupling limit

TL;DR

This paper introduces a new field theory for strongly coupled Coulomb fluids using a functional-integral transformation, successfully reproducing known bounds and addressing previous methodological gaps.

Contribution

It presents a novel functional-integral approach that advances the theoretical understanding of Coulomb fluids in the strong coupling regime.

Findings

Reproduces the Lieb–Narnhofer lower bound.

Bridges gaps in previous theoretical approaches.

Provides a new formalism for Coulomb fluid analysis.

Abstract

We have developed a field theory for strongly coupled Coulomb fluids, via introducing new functional--integral transformation of the electrostatic interaction energy. Our formalism not only reproduces the Lieb--Narnhofer lower bound, but also bridges logical gaps which previous approaches have involved.