Vector-axialvector mixing from a chiral effective field theory at finite temperature

Details Vector-axialvector mixing from a chiral effective field theory at finite temperature Vector-axialvector mixing from a chiral effective field theory at finite temperature

2008-07-09

arxiv.org/abs/0807.1417v2

Phys.Rev.D78:114003,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

v2:11 pages, 6 figures, reorganized and expanded the text, new plots and references added, main result and conclusions unchang

Scientific paper

10.1103/PhysRevD.78.114003

We study the vector-axialvector mixing in a hot medium and its evolution toward the chiral phase transition using different symmetry restoration scenarios based on the generalized hidden local symmetry framework. We show that the presence of the $a_1$ meson reduces the vector spectral function around $\rho$ meson mass and enhances it around $a_1$ meson mass. The coupling strength of $a_1$ to $\rho$ and $\pi$ vanishes at the critical temperature due to the degenerate $\rho$-$a_1$ masses. This feature holds rigorously in the chiral limit and still stays intact to good approximation for the physical pion mass.

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