TY  - JOUR
AU  - Anderson, P. R.
AU  - Fabbri, A.
AU  - Balbinot, R.
PY  - 2015
DA  - 2015//
TI  - Low frequency gray-body factors and infrared divergences: Rigorous results
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 064061
EP  - 18pp
VL  - 91
IS  - 6
PB  - Amer Physical Soc
AB  - 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 one-dimensional 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.
SN  - 1550-7998
UR  - http://arxiv.org/abs/1501.01953
UR  - https://doi.org/10.1103/PhysRevD.91.064061
DO  - 10.1103/PhysRevD.91.064061
LA  - English
N1  - WOS:000352062800003
ID  - Anderson_etal2015
ER  -