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

Suat Dengiz*, Ercan Kilicarslan†, and Bayram Tekin‡

  • Department of Physics, Middle East Technical University, 06800 Ankara, Turkey

  • *suat.dengiz@metu.edu.tr
  • †kercan@metu.edu.tr
  • ‡btekin@metu.edu.tr
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Phys. Rev. D 89, 024033 – Published 27 January, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.024033

Abstract

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.

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Phys. Rev. D 89, 024033– Published 27 January, 2014
  • Received 22 November 2013

© 2014 American Physical Society

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