High temperature limit in static backgrounds

Autor: Brandt, F. T., Siqueira, J. B.
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.86.105001
Popis: 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.
Comment: 15 pages, 11 figures. To be published in Physical Review D
Databáze: arXiv