Nonequilibrium inflaton dynamics and reheating. II. Fermion production, noise, and stochasticity

Details Nonequilibrium inflaton dynamics and reheating. II. Fermion production, noise, and stochasticity Nonequilibrium inflaton dynamics and reheating. II. Fermion production, noise, and stochasticity

1997-09-06

arxiv.org/abs/hep-ph/9709267v2

Phys.Rev. D57 (1998) 6003-6021

Physics

High Energy Physics

High Energy Physics - Phenomenology

35 pages, 2 figures, uses RevTeX 3.1, LaTeX 2e, AMSfonts 2.2, graphics 0.6. Submitted to Phys. Rev. D (8/13/97)

Scientific paper

10.1103/PhysRevD.57.6003

We present a detailed and systematic analysis of the coarse-grained, nonequilibrium dynamics of a scalar inflaton field coupled to a fermion field in the latter stages of the reheating period of inflationary cosmology. We derive coupled nonperturbative equations for the inflaton mean field and variance at two loops in a general curved spacetime, and show that the equations of motion are real and causal, and that the gap equation for the two-point function is dissipative due to fermion particle production. We then specialize to the case of Minkowski space and small-amplitude inflaton oscillations, and derive the perturbative one-loop dissipation and noise kernels to fourth order in the Yukawa coupling constant; the normal-threshold dissipation and noise kernels are shown to satisfy a zero-temperature fluctuation-dissipation relation. We derive a Langevin equation for the dynamics of the inflaton zero mode, and show that its variance is non-negligible during reheating. Stochastic evolution of the inflaton may have important astrophysical consequences.

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