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

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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 a₁ meson reduces the vector spectral function around ρ meson mass and enhances it around a₁ meson mass. The coupling strength of a₁ to ρ and π vanishes at the critical temperature due to the degenerate ρ-a₁ masses. This feature holds rigorously in the chiral limit and still stays intact to good approximation for the physical pion mass.