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Constraints on a gravitational Higgs mechanism

James Bonifacio1,*, Kurt Hinterbichler1,†, and Rachel A. Rosen2,‡

  • 1CERCA, Department of Physics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106, USA
  • 2Center for Theoretical Physics, Department of Physics, Columbia University, New York, New York 10027, USA

  • *james.bonifacio@case.edu
  • †kurt.hinterbichler@case.edu
  • ‡rar2172@columbia.edu
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Phys. Rev. D 100, 084017 – Published 10 October, 2019

DOI: https://doi.org/10.1103/PhysRevD.100.084017

Abstract

We show that it is impossible to improve the high-energy behavior of the tree-level four-point amplitude of a massive spin-2 particle by including the exchange of any number of scalars and vectors in four spacetime dimensions. This constrains possible weakly coupled ultraviolet extensions of massive gravity, ruling out gravitational analogues of the Higgs mechanism based on particles with spins less than two. Any tree-level ultraviolet extension that is Lorentz invariant and unitary must involve additional massive particles with spins greater than or equal to two, as in Kaluza-Klein theories and string theory.

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Corrections

25 November, 2019

Correction: The title contained a typographical error and has been fixed.

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Phys. Rev. D 100, 084017– Published 10 October, 2019
  • Received 29 April 2019
  • Corrected 25 November 2019
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