5 v 2 1 6 M ar 2 00 4 Energy partition in nonabelian gauge fields with thermodynamic interactions

The thermodynamic interaction at thermodynamic equilibrium in the free fermion gas is alternatively described by the coupling of particles with a scalar thermodynamic field which features a self-interaction. The gauge fields in SU c (3) symmetry are investigated with thermodynamic interactions. Six off-diagonal gluons acquire effective masses through the decolorization of thermodynamic fields using the Higgs mechanism. Together with the rise of the fermion mass in the thermal bath, this gives the partition of the thermodynamic energy under the classical limit. In thermodynamics, it was once a hot controversy how the temperature transformed under the Lorentz boost (for a review, see Ref.[1] and references therein). Recently, the discussion on the controversy has been still going on (e.g., see Refs.[2, 3, 4]). This controversy may be necessarily related to that how to define the proper temperature and recognize the thermodynamic interaction in a covariant framework for specific thermal systems. For fermion gases in a covariant framework, it is economic to begin with the problem in the relativistic field theory based on the following consideration. The non-linearity as well as non-inertia due to bremsstrahlung processes and multiple collisions in the thermal system is beyond the kinetics given by equations of motion for free fermions. Some dynamical degrees of freedom need to be introduced. According to the notion of field theories, the interaction is mediated by intermediate bosons. One may therefore introduce appropriate intermediate