35 research outputs found
Gibbons-Hawking radiation of gravitons in the Poincare and static patches of de Sitter spacetime
We discuss the quantization of linearized gravity in the background de Sitter
spacetime using a gauge-invariant formalism to write the perturbed
gravitational field in the static patch. This field is quantized after fixing
the gauge completely. The response rate of this field to monochromatic
multipole sources is then computed in the thermal equilibrium state with the
well known Gibbons-Hawking temperature. We compare this response rate with the
one obtained in the Bunch-Davies-like vacuum state defined in the Poincar\'e
patch. These response rates are found to be the same as expected. This
agreement serves as a verification of the infrared finite graviton two-point
function in the static patch of de Sitter spacetime found previously.Comment: 10 pages, no figures. Accepted for publication in Physical Review
Gravitational waves emitted by a particle rotating around a Schwarzschild black hole : A semiclassical approach
We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum eld theory in curved spacetime at tree level. The gravitational perturbations are written in a gauge-invariant formalism for spherically symmetric spacetimes. We discuss the results, comparing them to the radiation emitted by a particle when it is assumed to be orbiting a massive object due to a Newtonian force in at spacetime
Inequivalent quantization of the rational Calogero model with a Coulomb type interaction
We consider the inequivalent quantizations of a -body rational Calogero
model with a Coulomb type interaction. It is shown that for certain range of
the coupling constants, this system admits a one-parameter family of
self-adjoint extensions. We analyze both the bound and scattering state sectors
and find novel solutions of this model. We also find the ladder operators for
this system, with which the previously known solutions can be constructed.Comment: 15 pages, 3 figures, revtex4, typos corrected, to appear in EPJ
25th Annual Computational Neuroscience Meeting: CNS-2016
Abstracts of the 25th Annual Computational Neuroscience
Meeting: CNS-2016
Seogwipo City, Jeju-do, South Korea. 2–7 July 201