Abstract
We generalize the concept of conserving, Φ-derivable, approximations to relativistic field theories. Treating the interaction field as a dynamical degree of freedom, we derive the thermodynamic potential in terms of fully dressed propagators, an approach which allows us to resolve the entropy of a relativistic plasma into contributions from its interacting elementary excitations. We illustrate the derivation for a hot relativistic system governed by electromagnetic interactions.
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Vanderheyden, B., Baym, G. Self-Consistent Approximations in Relativistic Plasmas: Quasiparticle Analysis of the Thermodynamic Properties. Journal of Statistical Physics 93, 843–861 (1998). https://doi.org/10.1023/B:JOSS.0000033166.37520.ae
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DOI: https://doi.org/10.1023/B:JOSS.0000033166.37520.ae