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Novel nonlinear kinetic terms for gravitons

Wenliang Li*

  • APC, Université Paris 7, CNRS/IN2P3, CEA/IRFU, Obs. de Paris, Sorbonne Paris Cité, Bâtiment Condorcet, 10 rue Alice Domon et Léonie Duquet, F-75205 Paris Cedex 13, France (UMR 7164 du CNRS) and Crete Center for Theoretical Physics (CCTP) and Crete Center for Quantum Complexity and Nanotechnology (CCQCN), Department of Physics, University of Crete, P.O. Box 2208, 71003 Heraklion, Greece

  • *lii.wenliang@gmail.com
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Phys. Rev. D 94, 064078 – Published 30 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.064078

Abstract

A set of novel derivative terms for spin-2 fields are proposed. They are the wedge products of curvature two-forms and vielbeins. In this work, we investigate the properties of novel two-derivative terms in the context of bigravity. Based on a minisuperspace analysis, we identify a large class of bigravity models where the Boulware-Deser ghost could be absent. We give a new perspective that Weyl gravity and new massive gravity belong to this class of bigravity models involving novel derivative terms. This is related to the fact that this class of models contains spin-2 ghosts. In addition, we discuss the UV cutoff scales, dynamical symmetric conditions, and novel higher-derivative terms.

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Absence of the Boulware-Deser ghost in novel graviton kinetic terms

Wenliang Li
Phys. Rev. D 94, 064079 (2016)

Article Text

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Phys. Rev. D 94, 064078– Published 30 September, 2016
  • Received 20 November 2015

© 2016 American Physical Society

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