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Black holes and wormholes in the gravitational path integral can be used to calculate the statistics of heavy operators. An explicit example in higher dimensions is provided by thin shells of matter. We study these solutions in 3D gravity,…

High Energy Physics - Theory · Physics 2024-04-24 Jeevan Chandra , Thomas Hartman , Viraj Meruliya

Liouville transformations of Schr\"odinger equations preserve the scattering amplitudes while changing the effective potential. We discuss the properties of these gauge transformations and introduce a special Liouville gauge which allows…

Quantum Physics · Physics 2015-06-30 Gabriel Dufour , Romain Guérout , Astrid Lambrecht , Serge Reynaud

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which…

High Energy Physics - Theory · Physics 2016-08-25 George Siopsis

Using the worldline quantum field theory formalism, we compute the conservative scattering angle and impulse for classical black hole scattering at fifth post-Minkowskian (5PM) order by providing the second self-force (2SF) contributions.…

High Energy Physics - Theory · Physics 2026-02-04 Mathias Driesse , Gustav Uhre Jakobsen , Gustav Mogull , Christoph Nega , Jan Plefka , Benjamin Sauer , Johann Usovitsch

We probe the gravitational interaction of two black holes in the strong-field regime by computing the scattering angle $\chi$ of hyperbolic-like, close binary-black-hole encounters as a function of the impact parameter. The fully…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Thibault Damour , Federico Guercilena , Ian Hinder , Seth Hopper , Alessandro Nagar , Luciano Rezzolla

We study the relation between the $SL(2,R)/U(1)$ black hole and the $c=1$ Liouville theory. A deformation, which interpolates the BRST operators of both models, is explicitly constructed. This interpolation is isomorphic, and the physical…

High Energy Physics - Theory · Physics 2009-10-22 Hiroshi Ishikawa , Mitsuhiro Kato

The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration shows that any axially symmetric, stationary solution of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. G. Varzugin

We study the scattering of monochromatic planar scalar waves in a geometry that interpolates between the Schwarzschild solution, regular black holes and traversable wormhole spacetimes. We employ the partial waves approach to compute the…

General Relativity and Quantum Cosmology · Physics 2022-11-21 Haroldo C. D. Lima Junior , Carolina L. Benone , Luís C. B. Crispino

For the non-rotating BTZ black hole, the distributional curvature tensor field is found. It is shown to have singular parts proportional to a $\delta$-distribution with support at the origin. This singularity is related, through Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 N. R. Pantoja , H. Rago , R. O. Rodriguez

The concept of duality reflects a link between two seemingly different physical objects. An example in quantum mechanics is a situation where the spectra (or their parts) of two Hamiltonians go into each other under a certain…

Mathematical Physics · Physics 2019-09-05 Michael Kreshchuk , Tobias Gulden

Rainbow, glory and orbiting scattering are usually described by the properties of the classical deflection function related to the real part of the quantum mechanical scattering phase shift or by the diffractive pattern of the quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-12 D. Batic , N. G. Kelkar , M. Nowakowski

The problem of a beam of quantum particles falling through a diffractive screen is studied. The solutions for single and double slits are obtained explicitly when the potential is approximated by a linear function. It is found that the…

Quantum Physics · Physics 2018-10-24 D. Condado , J. L. Díaz-Cruz , A. Rosado , E. Sadurní

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

Mathematical Physics · Physics 2008-11-26 H. Gottschalk

We study the Klein-Gordon equation of a scalar field conformally coupled to a charged BTZ black hole. The background metric is obtained by coupling a non-linear and conformal invariant Maxwell field to (2+1) gravity. We show that the radial…

General Relativity and Quantum Cosmology · Physics 2016-05-04 P. Valtancoli

We discuss the quantum scattering process in the moduli space consisting of two maximally charged dilaton black holes. The black hole moduli space geometry has different structures for arbitrary dimensions and various values of dilaton…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kenji Sakamoto , Kiyoshi Shiraishi

Black holes are an ubiquitous end state of stellar evolution and successfully explain some of the most extreme physics encountered in astronomical observations. The Kerr geometry is the known exact solution to Einstein's equations for a…

General Relativity and Quantum Cosmology · Physics 2014-05-14 Michael Grudich

We examine dualities of two dimensional conformal field theories by applying the methods developed in previous works. We first derive the duality between $SL(2|1)_k/(SL(2)_k \otimes U(1))$ coset and Witten's cigar model or sine-Liouville…

High Energy Physics - Theory · Physics 2022-04-06 Thomas Creutzig , Yasuaki Hikida

\small The SL$(2,R)/U(1)$ coset model, with $U(1)$ an element of the third conjugacy class of $SL(2,R)$ subgroups, is considered. The resulting theory is seen to collapse to a one dimensional field theory of Liouville. Then the 2…

High Energy Physics - Theory · Physics 2007-05-23 Farhad Ardalan

Geodesic scattering of a test particle off a Schwarzschild black hole can be parameterized by the speed-at-infinity $v$ and the impact parameter $b$, with a "separatrix", $b=b_c(v)$, marking the threshold between scattering and plunge. Near…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Oliver Long , Christopher Whittall , Leor Barack

We construct new theories of dilation gravity coupled to conformal matter which are exact $c=26$ conformal field theories and presumably consistent frameworks for discussing black hole physics in two dimensions. They differ from the CGHS…

High Energy Physics - Theory · Physics 2009-10-22 Adel Bilal , Curtis Callan