Rolling classical scalar field in a linear potential coupled to a quantum field

Mukhopadhyay, Mainak; Vachaspati, Tanmay

doi:10.1103/PhysRevD.100.096018

Title: Rolling classical scalar field in a linear potential coupled to a quantum field

Abstract

We study the dynamics of a classical scalar field that rolls down a linear potential as it interacts bi-quadratically with a quantum field. We explicitly solve the dynamical problem by using the classical-quantum correspondence (CQC). Rolling solutions on the effective potential are shown to compare very poorly with the full solution. Spatially homogeneous initial conditions maintain their homogeneity and small inhomogeneities in the initial conditions do not grow.

Authors:

Mukhopadhyay, Mainak;

Publication Date:: 2019-11-25

Research Org.:: Arizona State Univ., Tempe, AZ (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1575793

Alternate Identifier(s):: OSTI ID: 1575219; OSTI ID: 1594972

Grant/Contract Number:: SC0019470

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Mukhopadhyay, Mainak, and Vachaspati, Tanmay. Rolling classical scalar field in a linear potential coupled to a quantum field.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.096018.

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                    Mukhopadhyay, Mainak, & Vachaspati, Tanmay. Rolling classical scalar field in a linear potential coupled to a quantum field.  United States.  https://doi.org/10.1103/PhysRevD.100.096018

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                    Mukhopadhyay, Mainak, and Vachaspati, Tanmay. Mon .  
"Rolling classical scalar field in a linear potential coupled to a quantum field".  United States.  https://doi.org/10.1103/PhysRevD.100.096018.

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@article{osti_1575793,

  title        = {Rolling classical scalar field in a linear potential coupled to a quantum field},

  author       = {Mukhopadhyay, Mainak and Vachaspati, Tanmay},

  abstractNote = {We study the dynamics of a classical scalar field that rolls down a linear potential as it interacts bi-quadratically with a quantum field. We explicitly solve the dynamical problem by using the classical-quantum correspondence (CQC). Rolling solutions on the effective potential are shown to compare very poorly with the full solution. Spatially homogeneous initial conditions maintain their homogeneity and small inhomogeneities in the initial conditions do not grow.},

  doi          = {10.1103/PhysRevD.100.096018},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {11}

}

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Works referenced in this record:

Vortex excitations in the Weinberg-Salam theory
journal, June 1981

Huang, Kerson; Tipton, Robert
Physical Review D, Vol. 23, Issue 12
DOI: 10.1103/PhysRevD.23.3050

Classical-quantum correspondence and Hawking radiation
journal, April 2019

Vachaspati, Tanmay; Zahariade, George
Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 04
DOI: 10.1088/1475-7516/2019/04/013

Classical-quantum correspondence for fields
journal, September 2019

Vachaspati, Tanmay; Zahariade, George
Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 09
DOI: 10.1088/1475-7516/2019/09/015

Thermal effects on slow-roll dynamics
journal, June 2008

Aarts, Gert; Tranberg, Anders
Physical Review D, Vol. 77, Issue 12
DOI: 10.1103/PhysRevD.77.123521

Wigner functional approach to quantum field dynamics
journal, December 1994

Mrówczyński, Stanisław; Müller, Berndt
Physical Review D, Vol. 50, Issue 12
DOI: 10.1103/PhysRevD.50.7542

Particle production and effective thermalization in inhomogeneous mean field theory
journal, December 1999

Aarts, Gert; Smit, Jan
Physical Review D, Vol. 61, Issue 2
DOI: 10.1103/PhysRevD.61.025002

Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects
journal, July 1997

Ramsey, S. A.; Hu, B. L.
Physical Review D, Vol. 56, Issue 2
DOI: 10.1103/PhysRevD.56.678

Quantum evaporation of classical breathers
journal, August 2019

Ollé, Jan; Pujolàs, Oriol; Vachaspati, Tanmay
Physical Review D, Vol. 100, Issue 4
DOI: 10.1103/PhysRevD.100.045011

Quantum-To-Classical Transition for Fluctuations in the Early Universe
journal, June 1998

Kiefer, Claus; Polarski, David; Starobinsky, Alexei A.
International Journal of Modern Physics D, Vol. 07, Issue 03
DOI: 10.1142/S0218271898000292

Semiclassical decay of topological defects
journal, February 2008

Borsanyi, Szabolcs; Hindmarsh, Mark
Physical Review D, Vol. 77, Issue 4
DOI: 10.1103/PhysRevD.77.045022

Quantum field dynamics of the slow rollover in the linear delta expansion
journal, July 2003

Bedingham, D. J.; Jones, H. F.
Physical Review D, Vol. 68, Issue 2
DOI: 10.1103/PhysRevD.68.025004

Quantum rolling down out of equilibrium
journal, March 1993

Boyanovsky, D.; de Vega, H. J.
Physical Review D, Vol. 47, Issue 6
DOI: 10.1103/PhysRevD.47.2343

On rolling, tunneling and decaying in some large N vector models
journal, August 2009

Asnin, Vadim; Rabinovici, Eliezer; Smolkin, Michael
Journal of High Energy Physics, Vol. 2009, Issue 08
DOI: 10.1088/1126-6708/2009/08/001

Quantum radiation of oscillons
journal, August 2010

Hertzberg, Mark P.
Physical Review D, Vol. 82, Issue 4
DOI: 10.1103/PhysRevD.82.045022

Erratum: Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects [Phys. Rev. D 56 , 678 (1997)]
journal, March 1998

Ramsey, S. A.; Hu, B. L.
Physical Review D, Vol. 57, Issue 6
DOI: 10.1103/PhysRevD.57.3798

Quantum fluctuations and inflation
journal, May 1987

Bardeen, J. M.; Bublik, G. J.
Classical and Quantum Gravity, Vol. 4, Issue 3
DOI: 10.1088/0264-9381/4/3/015

Classical-quantum correspondence and backreaction
journal, September 2018

Vachaspati, Tanmay; Zahariade, George
Physical Review D, Vol. 98, Issue 6
DOI: 10.1103/PhysRevD.98.065002

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Title: Rolling classical scalar field in a linear potential coupled to a quantum field

Abstract

Citation Formats

Vortex excitations in the Weinberg-Salam theory journal, June 1981

Classical-quantum correspondence and Hawking radiation journal, April 2019

Classical-quantum correspondence for fields journal, September 2019

Thermal effects on slow-roll dynamics journal, June 2008

Wigner functional approach to quantum field dynamics journal, December 1994

Particle production and effective thermalization in inhomogeneous mean field theory journal, December 1999

Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects journal, July 1997

Quantum evaporation of classical breathers journal, August 2019

Quantum-To-Classical Transition for Fluctuations in the Early Universe journal, June 1998

Semiclassical decay of topological defects journal, February 2008

Quantum field dynamics of the slow rollover in the linear delta expansion journal, July 2003

Quantum rolling down out of equilibrium journal, March 1993

On rolling, tunneling and decaying in some large N vector models journal, August 2009

Quantum radiation of oscillons journal, August 2010

Erratum: Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects [Phys. Rev. D 56 , 678 (1997)] journal, March 1998

Quantum fluctuations and inflation journal, May 1987

Classical-quantum correspondence and backreaction journal, September 2018

Vortex excitations in the Weinberg-Salam theory
journal, June 1981

Classical-quantum correspondence and Hawking radiation
journal, April 2019

Classical-quantum correspondence for fields
journal, September 2019

Thermal effects on slow-roll dynamics
journal, June 2008

Wigner functional approach to quantum field dynamics
journal, December 1994

Particle production and effective thermalization in inhomogeneous mean field theory
journal, December 1999

Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects
journal, July 1997

Quantum evaporation of classical breathers
journal, August 2019

Quantum-To-Classical Transition for Fluctuations in the Early Universe
journal, June 1998

Semiclassical decay of topological defects
journal, February 2008

Quantum field dynamics of the slow rollover in the linear delta expansion
journal, July 2003

Quantum rolling down out of equilibrium
journal, March 1993

On rolling, tunneling and decaying in some large N vector models
journal, August 2009

Quantum radiation of oscillons
journal, August 2010

Erratum: Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects [Phys. Rev. D 56 , 678 (1997)]
journal, March 1998

Quantum fluctuations and inflation
journal, May 1987

Classical-quantum correspondence and backreaction
journal, September 2018