Large Nc, chiral approach to Meta' at finite temperature
R. Escribano, F. S. Ling, M. H. G. Tytgat
Abstract
We study the temperature dependence of the eta and eta' meson masses within the framework of U(3)L x U(3)R chiral perturbation theory, up to next-to-leading order in a simultaneous expansion in momenta, quark masses and number of colours. We find that both masses decrease at low temperatures, but only very slightly. We analyze higher order corrections and argue that large Nc suggests a discontinuous drop of Meta' at the critical temperature of deconfinement Tc, consistent with a first order transition to a phase with approximate U(1)A symmetry.
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