Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-14
Phys.Rev. D67 (2003) 125006
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 5 figures. Revised version to be published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.67.125006
The thermal one- and two-graviton Green's function are computed using a temporal gauge. In order to handle the extra poles which are present in the propagator, we employ an ambiguity-free technique in the imaginary-time formalism. For temperatures T high compared with the external momentum, we obtain the leading T^4 as well as the subleading T^2 and log(T) contributions to the graviton self-energy. The gauge fixing independence of the leading T^4 terms as well as the Ward identity relating the self-energy with the one-point function are explicitly verified. We also verify the 't Hooft identities for the subleading T^2 terms and show that the logarithmic part has the same structure as the residue of the ultraviolet pole of the zero temperature graviton self-energy. We explicitly compute the extra terms generated by the prescription poles and verify that they do not change the behavior of the leading and sub-leading contributions from the hard thermal loop region. We discuss the modification of the solutions of the dispersion relations in the graviton plasma induced by the subleading T^2 contributions.
Brandt Fernando T.
Cuadros-Melgar Bertha
Machado F. R.
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