Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model
Abstract
Temperature dependence of the anomaly is investigated by taking into account mesonic fluctuations in the 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 of weaken the anomaly as a function of the temperature. The role of the six-point invariant of the group, and therefore the stability of the chiral expansion is also discussed in detail.
Keywords
Cite
@article{arxiv.1506.07399,
title = {Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model},
author = {G. Fejos},
journal= {arXiv preprint arXiv:1506.07399},
year = {2015}
}
Comments
10 pages, 3 figures, minor changes, Published in Phys. Rev. D