Equation of motion of a classical scalar field with back reaction of produced particles

Abstract

In the one-loop approximation we derive the equation of motion for a classical scalar field ϕ_c (t) with the back reaction of particle production included. Renormalization of mass and couplings of ϕ_c is done explicitly. The equation is non-local in time, but can easily be treated perturbatively or numerically. For the weak trilinear coupling of the external field to the produced particles, the new equation gives the same solution as the familiar one with the Γϕ_c term. For a stronger coupling and other types of couplings the results are significantly different. The equation can be applied to the universe heating by the inflaton decay and to spontaneous baryogenesis.

29 pages, 16 figures, subm to NPB

References in corpus (4)

• Towards the Theory of Reheating After Inflation
• Structure of Resonance in Preheating after Inflation
• Baryogenesis, 30 Years after
• Asymptotic Dynamics in Scalar Field Theory: Anomalous Relaxation

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• Fate of oscillating scalar fields in the thermal bath and their cosmological implications
• Basics of inflationary cosmology
• General properties and kinetics of spontaneous baryogenesis
• Multi-field formulation of gravitational particle production after inflation
• Distortion of the standard cosmology in R+R^2 theory
• Effect of massive fields on inflation
• Superheavy dark matter in $R+R^2$ cosmology with conformal anomaly
• Further evidences for a generic Universe
• Shape of the inflaton potential and the efficiency of the universe heating
• Calculations of scalaron decay probabilities
• Baryon number of the Universe as a result of extra space dynamics
• Numerical investigation of friction in inflaton equations of motion
• Intermediate Coupling Regime in Dilatonic $f(R,T)$ Inflationary Universe