An Effective Lagrangian with Broken Scale and Chiral Symmetry III: Mesons at Finite Temperature

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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20 pages latex plus 8 postscript figures

Scientific paper

10.1016/S0375-9474(97)00048-1

We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and resummation; the result is written in terms of the exponential integral. In the absence of explicit chiral symmetry breaking, a phase transition restores the symmetry at a temperature of 190 MeV; when the pion has a mass the transition is smooth. At a much higher temperature a first order phase transition restores scale symmetry.

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