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On the Infrared Behavior of the Pressure in Thermal Field Theories

A. P. de Almeida·J. Frenkel
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Abstract

We study non-perturbatively, via the Schwinger-Dyson equations, the leading infrared behavior of the pressure in the ladder approximation. This problem is discussed firstly in the context of a thermal scalar field theory, and the analysis is then extended to the Yang-Mills theory at high temperatures. Using the Feynman gauge, we find a system of two coupled integral equations for the gluon and ghost self-energies, which is solved analytically. The solutions of these equations show that the contributions to the pressure, when calculated in the ladder approximation, are finite in the infrared domain.

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A. P. de Almeida, J. Frenkel. 1992-08-19. On the Infrared Behavior of the Pressure in Thermal Field Theories. https://doi.org/10.1103/physrevd.47.640

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