Anomaly induced QCD potential and Quark Decoupling

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.

11 pages, RevTeX

References in corpus (2)

• Toy Model for Breaking Super Gauge Theories at the Effective Lagrangian Level
• Dependence of QCD hadron masses on the number of dynamical quarks

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