Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model

Fejős, Gergely (2015) Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model. PHYSICAL REVIEW D, 92 (3). ISSN 2470-0010

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Abstract

Temperature dependence of the UA(1) anomaly is investigated by taking into account mesonic fluctuations in the U(3)×U(3) linear sigma model. A field dependent anomaly coefficient function of the effective potential is calculated within the finite temperature functional renormalization group approach. The applied approximation scheme is a generalization of the chiral invariant expansion technique developed in [G. Fejos, Phys. Rev. D 90, 096011 (2014).]. We provide an analytic expression and also numerical evidence that depending on the relationship between the two quartic couplings, mesonic fluctuations can either strengthen or weaken the anomaly as a function of the temperature. The role of the six-point invariant of the U(3)×U(3) group, and therefore the stability of the chiral expansion is also discussed in detail. © 2015 American Physical Society.

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