Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-03-14
Phys.Rev. D56 (1997) 1939-1957
Physics
High Energy Physics
High Energy Physics - Phenomenology
43 pages, 12 figures, uses epsf
Scientific paper
10.1103/PhysRevD.56.1939
We study the non-linear dynamics of quantum fields in matter and radiation dominated universes, using the non-equilibrium field theory approach combined with the non-perturbative Hartree and the large N approximations. We examine the phenomenon of explosive particle production due to spinodal instabilities and parametric amplification in expanding universes with and without symmetry breaking. For a variety of initial conditions, we compute the evolution of the inflaton, its quantum fluctuations, and the equation of state. We find explosive growth of quantum fluctuations, although particle production is somewhat sensitive to the expansion of the universe. In the large N limit for symmetry breaking scenarios, we determine generic late time solutions for any flat Friedman-Robertson-Walker cosmology. We also present a complete and numerically implementable renormalization scheme for the equation of motion and the energy momentum tensor in flat FRW cosmologies. In this scheme the renormalization constants are independent of time and of the initial conditions.
Boyanovsky Daniel
Cormier Daniel
de Vega Hector J.
Holman Richard
Singh Amit
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