Hawking radiation and interacting fields

Frasca, Marco

doi:10.1140/epjp/i2017-11732-1

Cited by 5 publications

(5 citation statements)

References 30 publications

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“…First of all, it was shown that Hawking radiation persists [15,16] in free-field theories with modified dispersion relations for which the energy is always smaller than the Planck mass M p . 6 Renormalizable interactions were also studied [18][19][20] and no significant effect on Hawking radiation was found.…”

Section: Jhep01(2022)019mentioning

confidence: 99%

Planckian physics comes into play at Planckian distance from horizon

Kawai

Yokokura

2022

J. High Energ. Phys.

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In the background of a gravitational collapse, we compute the transition amplitudes for the creation of particles for distant observers due to higher-derivative interactions in addition to Hawking radiation. The amplitudes grow exponentially with time and become of order 1 when the collapsing matter is about a Planck length outside the horizon. As a result, the effective theory breaks down at the scrambling time, invalidating its prediction of Hawking radiation. Planckian physics comes into play to decide the fate of black-hole evaporation.

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Section: Jhep01(2022)019mentioning

confidence: 99%

Planckian physics comes into play at Planckian distance from horizon

Kawai

Yokokura

2022

J. High Energ. Phys.

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“…From Equation , that expresses the group commutation rules, the motion equations for the nonzero field components

\overset{falseˆ}{R} = R_{0}^{1}

(the longitudinal acoustic phonon field) and

\overset{falseˆ}{S} = R_{1}^{1}

(the spatial strain field) decouple, yielding

(\partial_{t}^{2} - c_{s}^{2} \partial_{x}^{2}) \overset{falseˆ}{R} + λ c_{s}^{2} | \overset{falseˆ}{R} {false|}^{2} \overset{falseˆ}{R} = 0

(\partial_{t}^{2} - c_{s}^{2} \partial_{x}^{2}) \overset{falseˆ}{S} = 0 .

\overset{falseˆ}{S} (x, t)

describes the fluctuations of the crystal strain field, that in higher dimensional domains are coupled to phonons, which may get scattered by them. Regarding the equation for the acoustic phonon

\overset{falseˆ}{R} (x, t)

, the parameter λ leads to a nonlinear oscillatory solution for

\overset{falseˆ}{R}

with a dispersion relation given by

ω_{k}^{2} = \sqrt{\frac{λ c_{s}^{2}}{2}} ρ_{R}^{2} + c_{s}^{2} k^{2}

where

ρ_{R}

is an integration constant depending on the cell characteristics. Equation can be derived by the Eulero–Lagrange equation from a Lagrangian that is a simplified form of Equation

{scriptL}_{R} = \frac{1}{2} (η^{}

…”

Section: Challenges In Gauging Spatial Symmetrymentioning

confidence: 84%

“…Sðx, tÞ describes the fluctuations of the crystal strain field, that in higher dimensional domains are coupled to phonons, which may get scattered by them. Regarding the equation for the acoustic phononRðx, tÞ, the parameter λ leads to a nonlinear oscillatory solution forR with a dispersion relation given by [57,58]…”

Section: Yang-mills Theory Of Acoustic Phonons In Crystalmentioning

confidence: 99%

Higgs and Goldstone Modes in Crystalline Solids

Vallone

2019

Physica Status Solidi (b)

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In crystalline solids, the acoustic phonon can be described either as a Goldstone or as a non‐Abelian gauge boson. However, the non‐Abelianity of the related gauge group apparently makes the acoustic phonon a frequency‐gapped mode, in contradiction with the other description. In a different perspective, overcoming this contradiction, both acoustic and optical phonon—the latter never appearing following the other two approaches—emerge, respectively, as the gapless Goldstone (phase) and the gapped Higgs (amplitude) fluctuation mode of an order parameter arising from the spontaneous breaking of a global symmetry, without invoking the gauge principle. In addition, the Higgs mechanism describes all the phonon–phonon interactions, including a possible perturbation of the acoustic phonon's frequency dispersion relation induced by the eventual optical phonon, a peculiar behavior that is able to produce mini‐gaps inside the phonon Brillouin zone.

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“…First of all, it was shown that Hawking radiation persists [14] in free-field theories with modified dispersion relations for which the energy is always smaller than the Planck mass M p . 6 Renormalizable interactions were also studied [16][17][18] and no significant effect on Hawking radiation was found.…”

Section: Trans-planckian Problemmentioning

confidence: 99%

Planckian Physics Comes Into Play At Planckian Distance From Horizon

Ho,

Kawai,

Yokokura

2021

Preprint

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Hawking radiation and interacting fields

Cited by 5 publications

References 30 publications

Planckian physics comes into play at Planckian distance from horizon

Planckian physics comes into play at Planckian distance from horizon

Higgs and Goldstone Modes in Crystalline Solids

Planckian Physics Comes Into Play At Planckian Distance From Horizon

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