Abstract
The thermal effective Lagrangian of a static background of gravitational fields is derived in the high temperature limit. In the one-loop approximation we obtain a closed form result as a simple functional of the static metric tensor. At the two-loop order, we are able to compute the effective Lagrangian up to the contribution of the graviton self-energy. This encodes all the effects of selfinteractions of the thermal fields and may be employed in order to obtain the thermodynamical properties in a gravitational background.
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