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Scattering in topologically massive gravity, chiral gravity, and the corresponding anyon-anyon potential energy
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Date
2014-01-27
Author
Dengiz, Suat
Kilicarslan, Ercan
Tekin, Bayram
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We compute the tree-level scattering amplitude between two covariantly conserved sources in generic cosmological topologically massive gravity augmented with a Fierz-Pauli term that has three massive degrees of freedom. We consider the chiral gravity limit in the anti-de Sitter space as well as the limit of flat-space chiral gravity. We show that chiral gravity cannot be unitarily deformed with a Fierz-Pauli mass. We calculate the nonrelativistic potential energy between two point-like spinning sources. In addition to the expected mass-mass and spin-spin interactions, there are mass-spin interactions due to the presence of the gravitational Chern-Simons term which induces spin for any massive object and turns it to an anyon. We also show that the tree-level scattering is trivial for the flat-space chiral gravity.
Subject Keywords
Veltman-zakharov discontinuity
,
Gravitational anyons
,
Spin
,
Spacetime
,
Dynamics
URI
https://hdl.handle.net/11511/39506
Journal
PHYSICAL REVIEW D
DOI
https://doi.org/10.1103/physrevd.89.024033
Collections
Department of Physics, Article
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S. Dengiz, E. Kilicarslan, and B. Tekin, “Scattering in topologically massive gravity, chiral gravity, and the corresponding anyon-anyon potential energy,”
PHYSICAL REVIEW D
, pp. 0–0, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39506.