Mixing of vector and axial mesons at finite temperature: an indication towards chiral symmetry restoration

Abstract

Correlators of vector and axial currents are considered at low temperatures T⪡ T c , T 2/6 F 2 π ⪡1. Only the lowest states, pions, are taken into account in the sum over excited states in the Gibbs averages. Using the PCAC, current algebra and saturating the correlators by ϱ and a 1 mesons it is shown that m ϱ increases and m a1 decreases with the increase of temperature indicating towards the chiral symmetry restoration. At T ≠ 0 a massless scalar meson contributes to the longitudinal part of the vector correlator with the residue proportional to T 2.