Trapping effects in inflation: blue spectrum at small scales

Abstract

We consider the inflationary model in which the inflaton $\varphi$ couples to another scalar field $\chi$ via the interaction $g^2(\varphi -{\varphi }_0{)}^2{\chi }^2$ with a small coupling constant $g$ ($g^2\sim 10^{-7}$). We assume that there is a sequence of "trapping points" ${\varphi }_{0i}$ along the inflationary trajectory where particles of $\chi$-field become massless and are rather effectively produced. We calculate the power spectrum of inflaton field fluctuations originated from a backreaction of $\chi$-particles produced, using the Schwinger's "in-in" formalism. We show that the primary curvature power spectrum produced by these backreaction effects is blue, which leads to a strong overproduction of primordial black holes (PBHs) in subsequent radiation era.

v2: 14 pages, 5 figures, version accepted by Phys. Rev. D

References in corpus (19)

• Stochastic Inflationary Scalar Electrodynamics
• Generalised constraints on the curvature perturbation from primordial black holes
• Power spectrum for inflation models with quantum and thermal noises
• Constraints on the induced gravitational wave background from primordial black holes
• Trapped Inflation
• An effective field theory during inflation: reduced density matrix and its quantum master equation
• Cosmological Fluctuations from Infra-Red Cascading During Inflation
• The curvature perturbation in a box
• Effects of particle production during inflation
• On Features and Nongaussianity from Inflationary Particle Production
• An effective field theory during inflation II: stochastic dynamics and power spectrum suppression
• Non-gaussianity of inflationary field perturbations from the field equation
• On the Physical Significance of Infra-red Corrections to Inflationary Observables
• Constraints on amplitudes of curvature perturbations from primordial black holes
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
• Naturally large tensor-to-scalar ratio in inflation

Cited by in corpus (3)

• Production of high stellar-mass primordial black holes in trapped inflation
• Resonant particle production during inflation: a full analytical study
• The phenomenology of trapped inflation