A Sum Rule for the Two-Dimensional Two-Component Plasma

TL;DR

This paper derives a simple sum rule for the second moment of the density correlation function in a 2D two-component plasma, linking it to the coupling constant via analogies with critical systems.

Contribution

It introduces a novel sum rule for the second moment in 2D two-component plasmas, connecting plasma correlations with critical phenomena.

Findings

Second moment value expressed as 1/(12 pi [1-(gamma/4)]^2)

Derived using analogies with critical systems

Provides a new analytical insight into plasma correlations

Abstract

In a two-dimensional two-component plasma, the second moment of the density correlation function has the simple value {12 pi [1-(gamma/4)]^2}^{-1}, where gamma is the dimensionless coupling constant. This result is derived by using analogies with critical systems.