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arXiv · 0904.4715

Resummation of infrared divergences in the free-energy of spin-two fields

F. T. Brandt·J. Frenkel·D. G. C. McKeon·J. B. Siqueira
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Abstract

We derive a closed form expression for the sum of all the infrared divergent contributions to the free-energy of a gas of gravitons. An important ingredient of our calculation is the use of a gauge fixing procedure such that the graviton propagator becomes both traceless and transverse. This has been shown to be possible, in a previous work, using a general gauge fixing procedure, in the context of the lowest order expansion of the Einstein-Hilbert action, describing non-interacting spin two fields. In order to encompass the problems involving thermal loops, such as the resummation of the free-energy, in the present work, we have extended this procedure to the situations when the interactions are taken into account.

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F. T. Brandt, J. Frenkel, D. G. C. McKeon, J. B. Siqueira. 2009-04-29. Resummation of infrared divergences in the free-energy of spin-two fields. https://doi.org/10.1103/physrevd.80.025024

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