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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 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.

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:
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. https://doi.org/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.. Fri . "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},
journal = {Physical Review D},
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 referenced in this record:

Higgs ξ-inflation for the 125-126 GeV Higgs: a two-loop analysis
journal, February 2014


Parametric resonance in the early Universe—a fitting analysis
journal, February 2017

  • Figueroa, Daniel G.; Torrentí, Francisco
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 02
  • DOI: 10.1088/1475-7516/2017/02/001

Linear inflation from quartic potential
journal, January 2016

  • Kannike, Kristjan; Racioppi, Antonio; Raidal, Martti
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)035

Encyclopædia Inflationaris
journal, December 2014


Higgs boson mass and new physics
journal, October 2012

  • Bezrukov, Fedor; Kalmykov, Mikhail Yu.; Kniehl, Bernd A.
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)140

Inflaton fragmentation and oscillon formation in three dimensions
journal, December 2010

  • Amin, Mustafa A.; Easther, Richard; Finkel, Hal
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 12
  • DOI: 10.1088/1475-7516/2010/12/001

Preheating in the standard model with the Higgs inflaton coupled to gravity
journal, March 2009


Resonant particle production with nonminimally coupled scalar fields in preheating after inflation
journal, August 1999


On reaching the adiabatic limit in multi-field inflation
journal, June 2015

  • Renaux-Petel, Sébastien; Turzyński, Krzysztof
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 06
  • DOI: 10.1088/1475-7516/2015/06/010

Primordial bispectrum from multifield inflation with nonminimal couplings
journal, March 2013

  • Kaiser, David I.; Mazenc, Edward A.; Sfakianakis, Evangelos I.
  • Physical Review D, Vol. 87, Issue 6
  • DOI: 10.1103/PhysRevD.87.064004

Multi-field conformal cosmological attractors
journal, December 2013


Post-inflation reheating in an expanding universe
journal, February 1996


Gravitino production after inflation
journal, April 2000


Geometric reheating after inflation
journal, June 1998


Reheating phase diagram for single-field slow-roll inflationary models
journal, September 2015


Preheating of fermions
journal, February 1999


Suppression of parametric resonance and the viability of tachyonic preheating after multifield inflation
journal, June 2009


Theory of fermionic preheating
journal, November 2000


Preheating of the nonminimally coupled inflaton field
journal, April 2000


The Higgs field as an inflaton
journal, October 2013


Enhanced preheating after multi-field inflation: on the importance of being special
journal, November 2012

  • Battefeld, Thorsten; Eggemeier, Alexander; Giblin, John T.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 11
  • DOI: 10.1088/1475-7516/2012/11/062

Preheating with Nonminimal Kinetic Terms
journal, July 2013


Nonperturbative dynamics of reheating after inflation: A review
journal, December 2014

  • Amin, Mustafa A.; Hertzberg, Mark P.; Kaiser, David I.
  • International Journal of Modern Physics D, Vol. 24, Issue 01
  • DOI: 10.1142/S0218271815300037

Universal Attractor for Inflation at Strong Coupling
journal, January 2014


Multifield Inflation after Planck: The Case for Nonminimal Couplings
journal, January 2014


Reheating in Inflationary Cosmology: Theory and Applications
journal, November 2010

  • Allahverdi, Rouzbeh; Brandenberger, Robert; Cyr-Racine, Francis-Yan
  • Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1
  • DOI: 10.1146/annurev.nucl.012809.104511

Primordial spectrum of gauge fields from inflation
journal, March 2001


Preheating after N -flation
journal, June 2008


Multi-field fermionic preheating
journal, August 2000


Inflation and the scale dependent spectral index: prospects and strategies
journal, February 2011

  • Adshead, Peter; Easther, Richard; Pritchard, Jonathan
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 02
  • DOI: 10.1088/1475-7516/2011/02/021

Production of Spin 3 / 2 Particles from Vacuum Fluctuations
journal, February 2000


Leptogenesis from Left-Handed Neutrino Production during Axion Inflation
journal, March 2016


Preheating with a speed-limited inflaton
journal, August 2011


Cosmological attractors and initial conditions for inflation
journal, September 2015


Chaotic inflationary scenario of the Universe with a nonminimally coupled ‘‘inflaton’’ field
journal, January 1989


Multifield dynamics of Higgs inflation
journal, March 2013

  • Greenwood, Ross N.; Kaiser, David I.; Sfakianakis, Evangelos I.
  • Physical Review D, Vol. 87, Issue 6
  • DOI: 10.1103/PhysRevD.87.064021

Cosmological perturbation with two scalar fields in reheating after inflation
journal, May 1998


Parametric amplification of metric fluctuations during reheating in two field models
journal, September 2000


Observing Inflationary Reheating
journal, February 2015


Preheating in an expanding universe: Analytic results for the massless case
journal, July 1997


The charged inflaton and its gauge fields: preheating and initial conditions for reheating
journal, June 2016


Gravitational waves from Affleck-Dine condensate fragmentation
journal, June 2015


A simple method for one-loop renormalization in curved space-time
journal, August 2013


New twist to preheating
journal, July 2000


Conformal transformations with multiple scalar fields
journal, April 2010


Structure of resonance in preheating after inflation
journal, November 1997


Restoring the sting to metric preheating
journal, February 2000


Primordial spectral indices from generalized Einstein theories
journal, October 1995


Improvement on cosmological chaotic inflation through nonminimal coupling
journal, March 1990


Constraints in the context of induced-gravity inflation
journal, June 1994


Chern-Simons production during preheating in hybrid inflation models
journal, January 2004

  • García-Bellido, Juan; García Pérez, Margarita; González-Arroyo, Antonio
  • Physical Review D, Vol. 69, Issue 2
  • DOI: 10.1103/PhysRevD.69.023504

Generating the observed baryon asymmetry from the inflaton field
journal, March 2014


Anisotropies in the Gravitational Wave Background from Preheating
journal, July 2013


Reheating Constraints to Inflationary Models
journal, July 2014


Encyclopædia curvatonis
journal, November 2015

  • Vennin, Vincent; Koyama, Kazuya; Wands, David
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
  • DOI: 10.1088/1475-7516/2015/11/008

From wires to cosmology
journal, February 2016


Baryogenesis from the inflaton field
journal, October 2014


Higgs inflation: consistency and generalisations
journal, January 2011

  • Bezrukov, F.; Magnin, A.; Shaposhnikov, M.
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)016

Violent preheating in inflation with nonminimal coupling
journal, February 2017

  • Ema, Yohei; Jinno, Ryusuke; Mukaida, Kyohei
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 02
  • DOI: 10.1088/1475-7516/2017/02/045

Metric preheating and limitations of linearized gravity
journal, November 1999


When can preheating affect the CMB?
journal, May 2002


Cosmological density perturbations with modified gravity
journal, August 1992

  • Fakir, Redouane; Habib, Salman; Unruh, William
  • The Astrophysical Journal, Vol. 394
  • DOI: 10.1086/171591

Renormalization Group, Effective Action and Grand Unification Theories in Curved Space-Time
journal, January 1991


Preheating after multifield inflation with nonminimal couplings. I. Covariant formalism and attractor behavior
journal, January 2018


General relativistic effects in preheating
journal, May 1999


Preheating after multifield inflation with nonminimal couplings. III. Dynamical spacetime results
journal, January 2018


Oscillons after Inflation
journal, June 2012


Multifield inflation after Planck: Isocurvature modes from nonminimal couplings
journal, March 2014

  • Schutz, Katelin; Sfakianakis, Evangelos I.; Kaiser, David I.
  • Physical Review D, Vol. 89, Issue 6
  • DOI: 10.1103/PhysRevD.89.064044

Higgs boson, renormalization group, and naturalness in cosmology
journal, November 2012


Preheating and entropy perturbations in axion monodromy inflation
journal, May 2016

  • McDonough, Evan; Moghaddam, Hossein Bazrafshan; Brandenberger, Robert H.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 05
  • DOI: 10.1088/1475-7516/2016/05/012

Nonperturbative production of matter and rapid thermalization after MSSM inflation
journal, June 2011

  • Allahverdi, Rouzbeh; Ferrantelli, Andrea; Garcia-Bellido, Juan
  • Physical Review D, Vol. 83, Issue 12
  • DOI: 10.1103/PhysRevD.83.123507

Theory of self-resonance after inflation. I. Adiabatic and isocurvature Goldstone modes
journal, December 2014


Non-minimal Inflationary Attractors
journal, October 2013


Theory of self-resonance after inflation. II. Quantum mechanics and particle-antiparticle asymmetry
journal, December 2014


Magnetogenesis from axion inflation
journal, October 2016

  • Adshead, Peter; Giblin, John T.; Scully, Timothy R.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 10
  • DOI: 10.1088/1475-7516/2016/10/039

Constraints on the reheating temperature from sizable tensor modes
journal, November 2015


Resonance structure for preheating with massless fields
journal, January 1998


Higgs–Dilaton cosmology: Are there extra relativistic species?
journal, December 2012


Particle physics models of inflation and curvaton scenarios
journal, January 2011


A new improved energy-momentum tensor
journal, July 1970


Reheating predictions in single field inflation
journal, April 2015

  • Cook, Jessica L.; Dimastrogiovanni, Emanuela; Easson, Damien A.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 04
  • DOI: 10.1088/1475-7516/2015/04/047

Equation of State and Duration to Radiation Domination after Inflation
journal, August 2017


Gravitational waves from Abelian gauge fields and cosmic strings at preheating
journal, October 2010

  • Dufaux, Jean-François; Figueroa, Daniel G.; García-Bellido, Juan
  • Physical Review D, Vol. 82, Issue 8
  • DOI: 10.1103/PhysRevD.82.083518

Parametric resonance of entropy perturbations in massless preheating
journal, September 2015

  • Moghaddam, Hossein Bazrafshan; Brandenberger, Robert H.; Cai, Yi-Fu
  • International Journal of Modern Physics D, Vol. 24, Issue 11
  • DOI: 10.1142/S0218271815500820

On initial conditions for the hot big bang
journal, June 2009

  • Bezrukov, F.; Gorbunov, D.; Shaposhnikov, M.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 06
  • DOI: 10.1088/1475-7516/2009/06/029

Reheating the universe after multi-field inflation
journal, July 2010

  • Braden, Jonathan; Kofman, Lev; Barnaby, Neil
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 07
  • DOI: 10.1088/1475-7516/2010/07/016

Gauge-preheating and the end of axion inflation
journal, December 2015

  • Adshead, Peter; Jr., John T. Giblin; Scully, Timothy R.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 12
  • DOI: 10.1088/1475-7516/2015/12/034

Reheating and preheating in the simplest extension of Starobinsky inflation
journal, October 2017

  • van de Bruck, Carsten; Dunsby, Peter; Paduraru, Laura E.
  • International Journal of Modern Physics D, Vol. 26, Issue 13
  • DOI: 10.1142/S0218271817501528

Preheating of massive fermions after inflation: analytical results
journal, May 2000


Analytic and numerical study of preheating dynamics
journal, December 1996


Preheating after Multi-Field Inflation
journal, July 2009


Unity of Cosmological Inflation Attractors
journal, April 2015


Multi-field inflation and cosmological perturbations
journal, January 2017


Inflation dynamics and reheating
journal, May 2006

  • Bassett, Bruce A.; Tsujikawa, Shinji; Wands, David
  • Reviews of Modern Physics, Vol. 78, Issue 2
  • DOI: 10.1103/RevModPhys.78.537

Designing density fluctuation spectra in inflation
journal, September 1989


End of inflation, oscillons, and matter-antimatter asymmetry
journal, October 2014


Lattice Calculation of Non-Gaussian Density Perturbations from the Massless Preheating Inflationary Model
journal, January 2008


Planck, LHC, and α -attractors
journal, April 2015


Preheating with non-standard kinetic term
journal, April 2009

  • Lachapelle, Jean; Brandenberger, Robert H.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 04
  • DOI: 10.1088/1475-7516/2009/04/020

The Density Perturbation in the Chaotic Inflation with Non-Minimal Coupling
journal, July 1991

  • Makino, N.; Sasaki, M.
  • Progress of Theoretical Physics, Vol. 86, Issue 1
  • DOI: 10.1143/ptp/86.1.103

Gauge field preheating at the end of inflation
journal, September 2013


Inflationary Cosmology: Exploring the Universe from the Smallest to the Largest Scales
journal, February 2005


Non-Gaussian Curvature Spikes from Chaotic Billiards in Inflation Preheating
journal, August 2009


The Standard Model Higgs boson as the inflaton
journal, January 2008


Probing reheating with primordial spectrum
journal, May 2015


Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field
journal, December 2009

  • Barvinsky, Andrei O.; Kamenshchik, Alexander Yu; Kiefer, Claus
  • Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 12
  • DOI: 10.1088/1475-7516/2009/12/003

Gravitational constant in multiple field gravity
journal, May 2015


Multifield formulation of gravitational particle production after inflation
journal, July 2015


Towards the theory of reheating after inflation
journal, September 1997


Preheating with nonminimally coupled scalar fields in higher-curvature inflation models
journal, November 1999


Particle physics models of inflation and the cosmological density perturbation
journal, June 1999


Fermion production during and after axion inflation
journal, November 2015

  • Adshead, Peter; Sfakianakis, Evangelos I.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
  • DOI: 10.1088/1475-7516/2015/11/021

ϕ 2 inflation at its endpoint
journal, October 2014


Gravitational waves from oscillon preheating
journal, October 2013

  • Zhou, Shuang-Yong; Copeland, Edmund J.; Easther, Richard
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)026

Dynamically induced Planck scale and inflation
journal, May 2015

  • Kannike, Kristjan; Hütsi, Gert; Pizza, Liberato
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)065

Superconformal inflationary α-attractors
journal, November 2013

  • Kallosh, Renata; Linde, Andrei; Roest, Diederik
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)198

On renormalisation of λϕ 4 field theory in curved space-time. I
journal, March 1980

  • Bunch, T. S.; Panangaden, P.; Parker, L.
  • Journal of Physics A: Mathematical and General, Vol. 13, Issue 3
  • DOI: 10.1088/0305-4470/13/3/022

Nonlinear dynamics and primordial curvature perturbations from preheating
journal, May 2010


On renormalisation of λϕ 4 field theory in curved space-time. II
journal, March 1980


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    journal, November 2019

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    • DOI: 10.1088/1475-7516/2019/11/002

    Production of gravitational waves during preheating with nonminimal coupling
    journal, April 2018


    Nonlinear Dynamics of Preheating after Multifield Inflation with Nonminimal Couplings
    journal, October 2019


    Preheating in the nonminimal derivative coupling curvaton model with nonstandard kinetic matter term
    journal, May 2019

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    • International Journal of Modern Physics A, Vol. 34, Issue 15
    • DOI: 10.1142/s0217751x19500799