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

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Dengiz S., Kilicarslan E., TEKİN B.

PHYSICAL REVIEW D, vol.89, no.2, 2014 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 89 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.1103/physrevd.89.024033
  • Title of Journal : PHYSICAL REVIEW D


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.