1999
DOI: 10.1103/physrevd.59.063009
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Numerical study of Hawking radiation photosphere formation around microscopic black holes

Abstract: Heckler has recently argued that the Hawking radiation emitted from microscopic black holes has sufficiently strong interactions above a certain critical temperature that it forms a photosphere, analogous to that of the Sun. In this case, the visible radiation is much cooler than the central temperature at the Schwarzschild radius, in contrast with the naive expectation for the observable spectrum. We investigate these ideas more quantitatively by solving the Boltzmann equation using the test particle method. … Show more

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Cited by 29 publications
(49 citation statements)
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“…To account for the Coulomb scattering, Refs. [13,16] took the simplified approach of defining the effective electron mass m e to include the fermion self-energy for a finite temperature bath. In the expression for σ brem , m e was augmented in the interaction rest frame by the thermal plasma mass given by Eq.…”
Section: The Plasma Mass Correctionmentioning
confidence: 99%
“…To account for the Coulomb scattering, Refs. [13,16] took the simplified approach of defining the effective electron mass m e to include the fermion self-energy for a finite temperature bath. In the expression for σ brem , m e was augmented in the interaction rest frame by the thermal plasma mass given by Eq.…”
Section: The Plasma Mass Correctionmentioning
confidence: 99%
“…Work aimed at providing realistic models of what radiating would look like is a subject of active research, with much scope for interesting physics to be discovered. Besides the papers already mentioned (Cline et al 1999, Halzen et al 1991, Heckler 1997, see Daghigh and Kapusta (2002), Kapusta (2000). A brief summary from the point of view of experimental prospects occurs in section II.F of the Snowmass report (Buckley et al 2002).…”
Section: What Would a Hawking-radiating Black Hole Really Look Like?mentioning
confidence: 99%
“…The appearance of the radiation depends crucially on precisely what sorts of self-interactions the Hawking quanta do undergo on their way out from the hole. For example, it has been suggested (Heckler 1997, Cline et al 1999 (although disputed: Kim et al 1999) that for kT H > ∼ 200 MeV quantum-chromodynamic Bremsstrahlung and other effects become important enough for a photosphere to form. This would reduce the observed temperature.…”
Section: What Would a Hawking-radiating Black Hole Really Look Like?mentioning
confidence: 99%
“…The issue really is how to describe the emission of wavepackets via the Hawking mechanism when the emitted particles are (potentially) close enough to be mutually interacting. A more quantitative treatment of the particle interactions on a semiclassical level was carried out by Cline, Mostoslavsky and Servant [8]. They solved the relativistic Boltzmann equation with QCD and QED interactions in the relaxation-time approximation.…”
Section: Introductionmentioning
confidence: 99%