Thermal properties and evolution of the U sub()A1) factor for 2+1 flavors

The thermal evolution of the axial anomaly is investigated in the system of the linear sigma model for 2+1 flavors. We explore the functional form of the effective potential and the coefficient of the 't Hooft determinant term. It is found that the latter develops a nontrivial structure as a fu...

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Bibliographic Details
Published in:Physical review. D 2016-08, Vol.94 (3)
Main Authors: Fejos, G, Hosaka, A
Format: Article
Language:English
Subjects:
Anomalies
Cosmology
Evolution
Flavours
Mathematical analysis
Mathematical models
Spectra
Thermal properties
Online Access:Get full text
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Summary:The thermal evolution of the axial anomaly is investigated in the system of the linear sigma model for 2+1 flavors. We explore the functional form of the effective potential and the coefficient of the 't Hooft determinant term. It is found that the latter develops a nontrivial structure as a function of the chiral condensate and grows everywhere with respect to the temperature. This shows that mesonic fluctuations strengthen the axial anomaly at finite temperature and it does not vanish at the critical point. The phenomenon has been found to have significance in the thermal properties of the mesonic spectra, especially concerning the [eta]-[eta]' system.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.94.036005