Thermodynamics of Pion Gas Using States Predicted from κ-Deformed Poincaré Algebra

Abstract

κ-deformed Poincaré algebra, which preserves rotational and translational symmetries, can successfully predict the angular and radial excited states of the pion. In a thermal bath with temperature, T, these states can be excited in the pion gas, in addition to the usual momentum excitation. We exploit this situation to look at the pion free energy, to find that it increases linearly with T. The energy per particle and the entropy show interesting structures around T=0.2 GeV.