Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model

TL;DR

This paper investigates the low-energy behavior of the SO(6)-symmetric Quark-Meson-Diquark Model using the Functional Renormalization Group, focusing on fluctuation-induced higher-derivative couplings and their role in effective low-energy descriptions.

Contribution

It computes the infrared scaling of higher-derivative couplings in the linear model and maps them onto the nonlinear model, extending previous work on related models.

Findings

Higher-derivative couplings are fully determined by the FRG flow of linear model equivalents.

The work provides insights into the scaling behavior of bosonic effective models within the FRG framework.

It extends previous studies on the SO(4)-symmetric Quark-Meson Model to the SO(6) case.

Abstract

In a qualitative study, the low-energy properties of the $\text{SO}\!\left(6\right)$-symmetric Quark-Meson-Diquark Model as an effective model for two-color Quantum Chromodynamics are investigated within the Functional Renormalization Group (FRG) approach. In particular, we compute the infrared scaling behavior of fluctuation-induced higher-derivative couplings of the linear Quark-Meson-Diquark Model and map the resulting renormalized effective action onto its nonlinear counterpart. The higher-derivative couplings of the nonlinear model, which we identify as the low-energy couplings of the Quark-Meson-Diquark Model, are therefore entirely determined by the FRG flow of their linear equivalents. This grants full access to their scaling behavior and provides insights into conceptual aspects of purely bosonic effective models, as they are treated within the FRG. In this way, the presented work is understood as an immediate extension of our recent advances in the $\text{SO}\!\left(4\right)$-symmetric Quark-Meson Model beyond common FRG approximations.