Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach

TL;DR

This paper uses the Functional Renormalization Group approach to analyze the low-energy behavior of the $O(4)$ quark-meson model, focusing on momentum-dependent pion interactions and their impact on physical quantities.

Contribution

It extends previous studies by including momentum-dependent pion self-interactions beyond the local potential approximation within the FRG framework.

Findings

Numerical FRG results for pion self-couplings agree with recent tree-level studies.

Momentum-dependent interactions influence wave-function renormalization.

Curvature masses are affected by the analyzed pion self-interactions.

Abstract

We compute the low-energy limit of the $O(4)$-symmetric quark-meson model as an effective field theory for Quantum Chromodynamics within the Functional Renormalization Group (FRG) approach. In particular, we analyze the renormalization group flow of momentum-dependent pion self-interactions beyond the local potential approximation. The numerical results for these couplings obtained from the FRG are confronted with a recent tree-level study. Additionally, their effect on the wave-function renormalization and the curvature masses is investigated.