Dipole-Dipole Correlations for the sine-Gordon Model

TL;DR

This paper analyzes dipole-dipole correlations in the 2D Coulomb gas/sine-Gordon model for >8>>>>>>> > > > > > > > using a renormalization group approach, revealing power-law decay of correlations.

Contribution

The paper extends renormalization group analysis to correlation functions in the sine-Gordon model for >8> > > > > > > and demonstrates power-law decay in dipole correlations.

Findings

Established RG analysis for partition function with finite range covariance decomposition.

Extended RG analysis to correlation functions.

Proved power-law decay of dipole-dipole correlations.

Abstract

We consider the dipole-dipole correlations for the two-dimensional Coulomb gas/sine-Gordon model for $\beta> 8\pi$ by a renormalization group method. First we re-establish the renormalization group analysis for the partition function using finite range decomposition of the covariance. Then we extend the analysis to the correlation functions. Finally, we show a power-law decay characteristic of the dipole gas.