Bosonization and Functional Renormalization Group Approach in the Framework of QED_2

TL;DR

This paper investigates the application of the functional renormalization group to two-dimensional QED, analyzing scheme dependencies and the effects of bosonization, revealing how to avoid flow singularities and the need for higher frequency interactions.

Contribution

It demonstrates how to prevent flow singularities in bosonized QED_2 using optimized schemes and highlights the necessity of including higher frequency modes in renormalization.

Findings

Flow equations' singularities can be avoided with optimized schemes.

Renormalization may require higher frequency interaction terms.

Scheme dependence affects the bosonized model's behavior.

Abstract

Known results on two-dimensional quantum electrodynamics (QED_2) have been used to study the dependence of functional renormalization group equations on renormalization schemes and approximations applied for its bosonized version. It is demonstrated that the singularity of flow equations can be avoided in the optimized and power-law schemes for the bosonized model and the drawback of renormalization on bosonization is shown: it is indicated that renormalization of QED_2 possibly requires interaction terms corresponding to higher frequency modes of its bosonized version.