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Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model

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Coupling of `t Hooft's determinant term is investigated in the framework of the three flavor linear sigma model as a function of the chiral condensate. Via perturbation theory, we calculate… Click to show full abstract

Coupling of `t Hooft's determinant term is investigated in the framework of the three flavor linear sigma model as a function of the chiral condensate. Via perturbation theory, we calculate the renormalization group flow of the coupling of the first correction to the conventional $U_A(1)$ breaking determinant term and find that at low temperatures it drives the anomaly to increase when the chiral condensate decreases. As an application, we analyze the effect at the zero temperature nuclear liquid--gas transition.

Keywords: linear sigma; condensate; three flavor; flavor linear; sigma model

Journal Title: Symmetry
Year Published: 2021

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