Thermal matter and radiation in a gravitational field

Abstract

We study the one-loop contributions of matter and radiation to the gravitational polarization tensor at finite temperatures. Using the analytically continued imaginary-time formalism, the contribution of matter is explicitly given to next-to-leading ($T^2$) order. We obtain an exact form for the contribution of radiation fields, expressed in terms of generalized Riemann zeta functions. A general expression is derived for the physical polarization tensor, which is independent of the parametrization of graviton fields. We investigate the effective thermal masses associated with the normal modes of the corresponding graviton self-energy.

32 pages, IFUSP/P-1070

References in corpus (4)

• The Secret Chern-Simons Action for the Hot Gluon Plasma
• High Temperature Response Functions and the Non-Abelian Kubo Formula
• The 3-graviton vertex function in thermal quantum gravity
• The graviton self-energy in thermal quantum gravity

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• Kinetic vs. Thermal-Field-Theory Approach to Cosmological Perturbations
• Fluctuations in a Thermal Field and Dissipation of a Black Hole Spacetime: Far-Field Limit
• High-temperature QCD and the classical Boltzmann equation in curved spacetime
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
• The gravitational polarization tensor of thermal $\lambda {\varphi }^4$ theory
• The dynamics of cosmological perturbations in thermal $\lambda {\varphi }^4$ theory
• Thermal one- and two-graviton Green's functions in the temporal gauge