Low frequency gray-body factors and infrared divergences: rigorous results

Abstract

Formal solutions to the mode equations for both spherically symmetric black holes and Bose-Einstein condensate acoustic black holes are obtained by writing the spatial part of the mode equation as a linear Volterra integral equation of the second kind. The solutions work for a massless minimally coupled scalar field in the s-wave or zero angular momentum sector for a spherically symmetric black hole and in the longitudinal sector of a 1D Bose-Einstein condensate acoustic black hole. These solutions are used to obtain in a rigorous way analytic expressions for the scattering coefficients and gray-body factors in the zero frequency limit. They are also used to study the infrared behaviors of the symmetric two-point function and two functions derived from it: the point-split stress-energy tensor for the massless minimally coupled scalar field in Schwarzschild-de Sitter spacetime and the density-density correlation function for a Bose-Einstein condensate acoustic black hole.

arXiv comment41 pages, 5 figures

References in corpus (10)

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• Greybody factors for non-minimally coupled scalar fields in Schwarzschild-de Sitter spacetime
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• Hawking radiation of massive modes and undulations
• Hawking radiation correlations in Bose Einstein condensates using quantum field theory in curved space
• Gray-body factor and infrared divergences in 1D BEC acoustic black holes

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• Low frequency analogue Hawking radiation: The Bogoliubov-de Gennes model
• Greybody factor of scalar fields from black strings
• Low frequency analogue Hawking radiation: The Korteweg-de Vries model
• Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results
• Tripartite Entanglement of Hawking Radiation in Dispersive Model
• Analogue Hawking Effect: BEC and Surface Waves
• Method to compute the stress-energy tensor for a quantized scalar field when a black hole forms from the collapse of a null shell
• Late time approach to Hawking radiation: terms beyond leading order
• Infrared Effects and the Unruh State
• Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
• The fine structure of the peaks of the correlation function in acoustic black holes: a complete analytical model
• Quantum Effects in 3+1 Schwarzschild-de Sitter Spacetime: Properties of the Hadamard Function
• Quantum backreaction in an analog black hole
• Some considerations on BEC analogue black holes
• Acoustic black holes in BECs with an extended sonic region
• Backreaction equations for 1+1 dimensional BEC sonic black holes
• Hawking radiation from nonrotating singularity-free black holes in conformal gravity