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, cilt.89, sa.2, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 89 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1103/physrevd.89.024033
  • Dergi Adı: PHYSICAL REVIEW D
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.