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

摘要

We study the finite temperature properties of an effective chiral Lagrangianwhich describes nuclear matter. Thermal fluctuations in both the nucleon andthe meson fields are considered. The logarithmic and square root terms in theeffective potential are evaluated by expansion and resummation with the resultwritten in terms of the exponential integral and the error function,respectively. In the absence of explicit chiral symmetry breaking a phasetransition restores the symmetry, but when the pion has a mass the transitionis smooth. The nucleon and meson masses as a functions of density andtemperature are discussed.