Scattering in topologically massive gravity, chiral gravity, and the corresponding anyon-anyon potential energy

Date

2014-01-27

Author

Dengiz, Suat
Kilicarslan, Ercan
Tekin, Bayram

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This work is licensed under a 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

Collections

Department of Physics, Article