Anomaly induced QCD potential and Quark Decoupling

TL;DR

This paper investigates how anomaly effects influence the effective QCD potential and proposes a decoupling method for massive quarks, showing the potential's dependence on flavor number and implications for the $'$ mass.

Contribution

It introduces a decoupling procedure for massive quarks in QCD, inspired by Seiberg's approach, and analyzes the resulting changes in the effective potential and meson masses.

Findings

QCD potential reduces to fewer flavors after decoupling

Dependence of $'$ mass on $N_c$ and $N_f$

Effective potential behavior aligns with theoretical expectations

Abstract

We explore the anomaly induced effective QCD meson potential in the framework of the effective Lagrangian approach. We suggest a decoupling procedure, when a flavored quark becomes massive, which mimics the one employed by Seiberg for supersymmetric gauge theories. It is seen that, after decoupling, the QCD potential naturally converts to the one with one less flavor. We study the $N_c$ and $N_f$ dependence of the $\eta^{\prime}$ mass.