An effective field theory of quantum mechanical black hole horizons

Goldberger, Walter D.; Rothstein, Ira Z.

doi:10.1007/jhep04(2020)056

Title: An effective field theory of quantum mechanical black hole horizons

Abstract

We develop an effective theory which describes black holes with quantum mechanical horizons that is valid at scales long compared to the Schwarzschild radius but short compared to the lifetime of the black hole. Our formalism allows one to calculate the quantum mechanical effects in scattering processes involving black hole asymptotic states. We point out that the EFT Wightman functions which describe Hawking radiation in the Unruh vacuum are not Planck suppressed and are actually enhanced relative to those in the Boulware vacuum, for which such radiation is absent. We elaborate on this point showing how the non-Planck suppressed effects of Hawking radiation cancel in classical observables.

Authors:

Goldberger, Walter D. ^[1]; Rothstein, Ira Z. ^[2]

Yale Univ., New Haven, CT (United States)
Carnegie Mellon Univ., Pittsburgh, PA (United States)

Publication Date:: Thu Apr 09 00:00:00 EDT 2020

Research Org.:: Carnegie Mellon Univ., Pittsburgh, PA (United States)

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

OSTI Identifier:: 1755680

Grant/Contract Number:: SC0010118; FG02-04ER41338; SC0017660; FG02-06ER41449

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 4; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Black Holes; Eﬀective Field Theories; Models of Quantum Gravity

Citation Formats


                    Goldberger, Walter D., and Rothstein, Ira Z. An effective field theory of quantum mechanical black hole horizons.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep04(2020)056.

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                    Goldberger, Walter D., & Rothstein, Ira Z. An effective field theory of quantum mechanical black hole horizons.  United States.  https://doi.org/10.1007/jhep04(2020)056

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                    Goldberger, Walter D., and Rothstein, Ira Z. Thu .  
"An effective field theory of quantum mechanical black hole horizons".  United States.  https://doi.org/10.1007/jhep04(2020)056.  https://www.osti.gov/servlets/purl/1755680.

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@article{osti_1755680,

  title        = {An effective field theory of quantum mechanical black hole horizons},

  author       = {Goldberger, Walter D. and Rothstein, Ira Z.},

  abstractNote = {We develop an effective theory which describes black holes with quantum mechanical horizons that is valid at scales long compared to the Schwarzschild radius but short compared to the lifetime of the black hole. Our formalism allows one to calculate the quantum mechanical effects in scattering processes involving black hole asymptotic states. We point out that the EFT Wightman functions which describe Hawking radiation in the Unruh vacuum are not Planck suppressed and are actually enhanced relative to those in the Boulware vacuum, for which such radiation is absent. We elaborate on this point showing how the non-Planck suppressed effects of Hawking radiation cancel in classical observables.},

  doi          = {10.1007/jhep04(2020)056},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 4,

  volume       = 2020,

  place        = {United States},

  year         = {Thu Apr 09 00:00:00 EDT 2020},

  month        = {Thu Apr 09 00:00:00 EDT 2020}

}

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Works referenced in this record:

Particle creation by black holes
journal, August 1975

Hawking, S. W.
Communications In Mathematical Physics, Vol. 43, Issue 3
DOI: 10.1007/BF02345020

Towers of gravitational theories
journal, October 2006

Goldberger, Walter D.; Rothstein, Ira Z.
General Relativity and Gravitation, Vol. 38, Issue 11
DOI: 10.1007/s10714-006-0345-7

Infrared Photons and Gravitons
journal, October 1965

Weinberg, Steven
Physical Review, Vol. 140, Issue 2B
DOI: 10.1103/PhysRev.140.B516

Multiple Production of Photons in Quantum Electrodynamics
journal, April 1962

Mahanthappa, Kalyana T.
Physical Review, Vol. 126, Issue 1
DOI: 10.1103/PhysRev.126.329

The electric and magnetic conductivity of a Kerr hole
journal, December 1978

Znajek, R. L.
Monthly Notices of the Royal Astronomical Society, Vol. 185, Issue 4
DOI: 10.1093/mnras/185.4.833

Brownian Motion of a Quantum Oscillator
journal, May 1961

Schwinger, Julian
Journal of Mathematical Physics, Vol. 2, Issue 3
DOI: 10.1063/1.1703727

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Title: An effective field theory of quantum mechanical black hole horizons

Abstract

Citation Formats

Particle creation by black holes journal, August 1975

Towers of gravitational theories journal, October 2006

Infrared Photons and Gravitons journal, October 1965

Multiple Production of Photons in Quantum Electrodynamics journal, April 1962

The electric and magnetic conductivity of a Kerr hole journal, December 1978

Brownian Motion of a Quantum Oscillator journal, May 1961

Particle creation by black holes
journal, August 1975

Towers of gravitational theories
journal, October 2006

Infrared Photons and Gravitons
journal, October 1965

Multiple Production of Photons in Quantum Electrodynamics
journal, April 1962

The electric and magnetic conductivity of a Kerr hole
journal, December 1978

Brownian Motion of a Quantum Oscillator
journal, May 1961