Interactions of charged spin-2 fields
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Accepted version
Author(s)
de Rham, C
Matas, A
Ondo, NA
Tolley, AJ
Type
Journal Article
Abstract
In light of recent progress in ghost-free theories of massive gravity and multi-gravity, we reconsider the problem of constructing a ghost-free theory of an interacting spin-2 field charged under a U(1) gauge symmetry. Our starting point is the theory originally proposed by Federbush, which is essentially Fierz–Pauli generalized to include a minimal coupling to a U(1) gauge field. We show the Federbush theory with a dynamical U(1) field is in fact ghost-free and can be treated as a healthy effective field theory to describe a massive charged spin-2 particle. It can even potentially have healthy dynamics above its strong-coupling scale. We then construct candidate gravitational extensions to the Federbush theory both by using dimensional deconstruction, and by constructing a general nonlinear completion. However, we find that the U(1) symmetry forces us to modify the form of the Einstein–Hilbert kinetic term. By performing a constraint analysis directly in the first-order form, we show that these modified kinetic terms inevitably reintroduce the Boulware–Deser ghost. As a by-product of our analysis, we present a new proof for ghost-freedom of bi-gravity in 2+1 dimensions (also known as Zwei-Dreibein gravity). We also give a complementary algebraic argument that the Einstein–Hilbert kinetic term is incompatible with a U(1) symmetry, for a finite number of gravitons.
Date Issued
2015-09-10
Date Acceptance
2015-07-06
Citation
Classical and Quantum Gravity, 2015, 32 (17)
ISSN
0264-9381
Publisher
IOP Publishing
Journal / Book Title
Classical and Quantum Gravity
Volume
32
Issue
17
Copyright Statement
©2015 IOP Publishing Ltd.
Subjects
Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Multidisciplinary
Physics, Particles & Fields
Physics
multi-gravity
deconstruction
charged spin-2 fields
RELATIVISTIC WAVE-EQUATIONS
MASSIVE SPIN-2
ELECTROMAGNETIC-FIELD
CURVED SPACETIME
GRAVITY
PARTICLES
INCONSISTENCY
COMPATIBILITY
SYMMETRIES
CAUSALITY
Publication Status
Published
Article Number
175008