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Title: Preheating after multifield inflation with nonminimal couplings. II. Resonance structure

Abstract

This is the second in a series of papers on preheating in inflationary models comprised of multiple scalar fields coupled nonminimally to gravity. We work in the rigid-spacetime approximation and consider field trajectories within the single-field attractor, which is a generic feature of these models. We construct the Floquet charts to find regions of parameter space in which particle production is efficient for both the adiabatic and isocurvature modes, and analyze the resonance structure using analytic and semianalytic techniques. Particle production in the adiabatic direction is characterized by the existence of an asymptotic scaling solution at large values of the nonminimal couplings, $${{\xi}}_{I}{\gg}1$$, in which the dominant instability band arises in the long-wavelength limit, for comoving wave numbers $$k{\rightarrow}0$$. However, the large-$${{\xi}}_{I}$$ regime is not reached until $${{\xi}}_{I}{\ge}\mathcal{O}(100)$$. In the intermediate regime, with $${{\xi}}_{I}{\sim}\mathcal{O}(1-10)$$, the resonance structure depends strongly on wave number and couplings. The resonance structure for isocurvature perturbations is distinct and more complicated than its adiabatic counterpart. An intermediate regime, for $${{\xi}}_{I}{\sim}\mathcal{O}(1-10)$$, is again evident. For large values of $${{\xi}}_{I}$$, the Floquet chart consists of densely spaced, nearly parallel instability bands, suggesting a very efficient preheating behavior. The increased efficiency arises from features of the nontrivial field-space manifoldmore » in the Einstein frame, which itself arises from the fields’ nonminimal couplings in the Jordan frame, and has no analog in models with minimal couplings. Quantitatively, the approach to the large-$${{\xi}}_{I}$$ asymptotic solution for isocurvature modes is slower than in the case of the adiabatic modes.« less

Authors:
 [1];  [1];  [1];  [2];  [3]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
  2. Univ. of Washington, Seattle, WA (United States). Dept. of Physics
  3. Univ. of Illinois, Urbana, IL (United States). Dept. of Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1505819
Alternate Identifier(s):
OSTI ID: 1418192
Grant/Contract Number:  
SC0012567
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 2; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmology; inflation; particle astrophysics

Citation Formats

DeCross, Matthew P., Kaiser, David I., Prabhu, Anirudh, Prescod-Weinstein, Chanda, and Sfakianakis, Evangelos I. Preheating after multifield inflation with nonminimal couplings. II. Resonance structure. United States: N. p., 2018. Web. doi:10.1103/physrevd.97.023527.
DeCross, Matthew P., Kaiser, David I., Prabhu, Anirudh, Prescod-Weinstein, Chanda, & Sfakianakis, Evangelos I. Preheating after multifield inflation with nonminimal couplings. II. Resonance structure. United States. https://doi.org/10.1103/physrevd.97.023527
DeCross, Matthew P., Kaiser, David I., Prabhu, Anirudh, Prescod-Weinstein, Chanda, and Sfakianakis, Evangelos I. 2018. "Preheating after multifield inflation with nonminimal couplings. II. Resonance structure". United States. https://doi.org/10.1103/physrevd.97.023527. https://www.osti.gov/servlets/purl/1505819.
@article{osti_1505819,
title = {Preheating after multifield inflation with nonminimal couplings. II. Resonance structure},
author = {DeCross, Matthew P. and Kaiser, David I. and Prabhu, Anirudh and Prescod-Weinstein, Chanda and Sfakianakis, Evangelos I.},
abstractNote = {This is the second in a series of papers on preheating in inflationary models comprised of multiple scalar fields coupled nonminimally to gravity. We work in the rigid-spacetime approximation and consider field trajectories within the single-field attractor, which is a generic feature of these models. We construct the Floquet charts to find regions of parameter space in which particle production is efficient for both the adiabatic and isocurvature modes, and analyze the resonance structure using analytic and semianalytic techniques. Particle production in the adiabatic direction is characterized by the existence of an asymptotic scaling solution at large values of the nonminimal couplings, ${{\xi}}_{I}{\gg}1$, in which the dominant instability band arises in the long-wavelength limit, for comoving wave numbers $k{\rightarrow}0$. However, the large-${{\xi}}_{I}$ regime is not reached until ${{\xi}}_{I}{\ge}\mathcal{O}(100)$. In the intermediate regime, with ${{\xi}}_{I}{\sim}\mathcal{O}(1-10)$, the resonance structure depends strongly on wave number and couplings. The resonance structure for isocurvature perturbations is distinct and more complicated than its adiabatic counterpart. An intermediate regime, for ${{\xi}}_{I}{\sim}\mathcal{O}(1-10)$, is again evident. For large values of ${{\xi}}_{I}$, the Floquet chart consists of densely spaced, nearly parallel instability bands, suggesting a very efficient preheating behavior. The increased efficiency arises from features of the nontrivial field-space manifold in the Einstein frame, which itself arises from the fields’ nonminimal couplings in the Jordan frame, and has no analog in models with minimal couplings. Quantitatively, the approach to the large-${{\xi}}_{I}$ asymptotic solution for isocurvature modes is slower than in the case of the adiabatic modes.},
doi = {10.1103/physrevd.97.023527},
url = {https://www.osti.gov/biblio/1505819}, journal = {Physical Review D},
issn = {2470-0010},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}

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Figures / Tables:

FIG. 1 FIG. 1: Left: potential in the Einstein frame, V(ϕI), for a two-field model with λχ = 1.25λϕ, g = λϕ, and ξχ = 0.8ξϕ. Right: field trajectories for different couplings and initial conditions. Open circles indicate fields’ initial values (in units of Mpl). We set the fields’ initial velocities tomore » zero and adjust the initial angle in field space, θ0 = arctan(ϕ0/χ0). We fix λϕ = 10−2 and ξϕ = 103 and vary the other parameters (λχ , g, ξχ , θ0) as follows: {0.75λϕ, λϕ, 1.2ξϕ, $$\pi$$/4} (red), {λϕ, λϕ, 0.8ξϕ, $$\pi$$/4} (blue), {λϕ; 0.75λϕ, 0.8ξϕ, $$\pi$$/6} (green), and {λϕ, 0.75λϕ, 0.8ξϕ, $$\pi$$/3} (black). In each case, the initial transient motion damps out within a few efolds, yielding effectively single-field evolution during inflation.« less

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Works referencing / citing this record:

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