High temperature limit in static backgrounds

Abstract

We prove that the hard thermal loop contribution to static thermal amplitudes can be obtained by setting all the external four-momenta to zero before performing the Matsubara sums and loop integrals. At the one-loop order we do an iterative procedure for all the 1PI one-loop diagrams and at the two-loop order we consider the self-energy. Our approach is sufficiently general to the extent that it includes theories with any kind of interaction vertices, such as gravity in the weak field approximation, for $d$ space-time dimensions. This result is valid whenever the external fields are all bosonic.

15 pages, 11 figures. To be published in Physical Review D

References in corpus (2)

• The long wavelength limit of hard thermal loop effective actions
• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature

Cited by in corpus (3)

• QED plasma in a background of static gravitational fields
• Hard thermal loops in static background fields
• Thermal effective Lagrangian of generalized electrodynamics in static gravitational fields