Interactions of charged spin-2 fields

File Description SizeFormat 
1410.5422v1.pdfAccepted version480.73 kBAdobe PDFView/Open
Title: Interactions of charged spin-2 fields
Authors: De Rham, C
Matas, A
Ondo, NA
Tolley, AJ
Item 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.
Issue Date: 10-Sep-2015
Date of Acceptance: 6-Jul-2015
URI: http://hdl.handle.net/10044/1/51749
DOI: https://dx.doi.org/10.1088/0264-9381/32/17/175008
ISSN: 0264-9381
Publisher: IOP Publishing
Journal / Book Title: Classical and Quantum Gravity
Volume: 32
Issue: 17
Copyright Statement: ©2015 IOP Publishing Ltd.
Keywords: 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
hep-th
hep-th
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
02 Physical Sciences
01 Mathematical Sciences
Nuclear & Particles Physics
Publication Status: Published
Open Access location: http://dx.doi.org/10.1088/0264-9381/32/17/175008
Article Number: 175008
Appears in Collections:Physics
Theoretical Physics



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Creative Commonsx