Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-10-06
Phys.Rev.D81:023509,2010
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, no figures; typos corrected, added 6 paragraphs et the end of section 3, and 1 paragraph at the end of section 5
Scientific paper
10.1103/PhysRevD.81.023509
We discuss the problem of initial states for a system of coupled scalar fields out of equilibrium in the one-loop approximation. The fields consist of classical background fields, taken constant in space, and quantum fluctuations. If the initial state is the adiabatic vacuum, i.e., the ground state of a Fock space of particle excitations that diagonalize the mass matrix, the energy-momentum tensor is infinite at t=0, its most singular part behaves as 1/t. When the system is coupled to gravity this presents a problem that we solve by a Bogoliubov transformation of the naive initial state. As a side result we also discuss the canonical formalism and the adiabatic particle number for such a system. Most of the formalism is presented for Minkowksi space. Embedding the system and its dynamics into a flat FRW universe is straightforward and we briefly address the essential modifications.
Baacke Jurgen
Kevlishvili Nina
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