Functional renormalization group approach to the sine-Gordon model

TL;DR

This paper applies the functional renormalization group method to the two-dimensional sine-Gordon model, successfully capturing the Kosterlitz-Thouless-Berezinski phase transition by analyzing the flow of the wave-function renormalization.

Contribution

It introduces the wave-function renormalization constant into the functional renormalization group analysis of the sine-Gordon model, revealing the phase structure and transition.

Findings

Reproduces the Kosterlitz-Thouless-Berezinski phase transition.

Identifies the interpolating scaling law between IR attractive regions.

Demonstrates the effectiveness of the functional RG approach with wave-function renormalization.

Abstract

The renormalization group flow is presented for the two-dimensional sine-Gordon model within the framework of the functional renormalization group method by including the wave-function renormalization constant. The Kosterlitz-Thouless-Berezinski type phase structure is recovered as the interpolating scaling law between two competing IR attractive area of the global renormalization group flow.