# Renormalization of the bilocal sine-Gordon model

## TL;DR

This paper applies the functional renormalization group to the 2D sine-Gordon model with a bilocal term, revealing how it can replicate wave function renormalization effects and recover the Kosterlitz-Thouless transition.

## Contribution

It introduces a bilocal term into the RG analysis of the sine-Gordon model, providing a new approach to capture phase transition phenomena.

## Key findings

- Bilocal term flow can replace wave function renormalization.
- Kosterlitz-Thouless transition is recovered with the bilocal term.
- Flow equations incorporate bilocal contributions at tree level.

## Abstract

The functional renormalization group treatment is presented for the two-dimensional sine-Gordon model by including a bilocal term in the potential, which contributes to the flow at tree level. It is shown that the flow of the bilocal term can substitute the evolution of the wave function renormalization constant, and then the Kosterlitz-Thouless type phase transition can be recovered.