An analytical approach to the field amplification and particle production by parametric resonance during inflation and reheating

Abstract

Field amplification and particle production due to parametric resonance are highly nontrivial predictions of quantum fields that couple to an oscillating source during inflation and reheating. Understanding this two effects is crucial for the connection between the resonance phenomenon and precise observational data. In this paper, we give a general and analytic analysis of parametric resonance of relevant field modes evolving during inflation and reheating by using the uniform asymptotic approximation. This analysis can provide a clear and quantitative explanation for the field amplification and particle production during the resonance. The potential applications of our results to several examples, including sound resonance during inflation, particle productions during reheating, and parametric resonance due to self-resonance potentials, have also been explored. The formalism developed in this paper is also applicable to parametric resonance in a broad areas of modern science.

6 pages, 3 figures; v2: some typos are corrected, added two references; v3: 10 pages, some discussions are largely expanded, version to appear at Physics of the Dark Universe

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• Inflationary perturbation spectra at next-to-leading slow-roll order in effective field theory of inflation
• Dependence of the amplitude of gravitational waves from preheating on the inflationary energy scale
• Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology
• Bridging inflation and reheating: chiral gravitational waves from aHz to GHz