Massive gravity in de Sitter space via the gravitational Higgs mechanism

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.124001· OSTI ID:21503738

Iglesias, Alberto ^[1]; Kakushadze, Zurab ^[2]

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1. Arnold Sommerfeld Center for Theoretical Physics, Ludwig Maximilians University, Theresienstr. 37, 80333 Munich (Germany)
2. Quantigic registered Solutions LLC, 200 Rector Place, 43C, New York, New York 10280 (United States)

In this paper we discuss massive gravity in de Sitter space via the gravitational Higgs mechanism, which provides a nonlinear definition thereof. The Higgs scalars are described by a nonlinear sigma model, which includes higher derivative terms required to obtain the Fierz-Pauli mass term. Using the aforesaid nonperturbative definition, we address the appearance of an enhanced local symmetry and a null norm state in the linearized massive gravity in de Sitter space at the special value of the graviton mass to the Hubble parameter ratio. By studying full nonperturbative equations of motion, we argue that there is no enhanced symmetry in the full nonlinear theory. We then argue that in the full nonlinear theory no null norm state is expected to arise at the aforesaid special value. This suggests that no ghost might be present for lower graviton mass values and the full nonlinear theory might be unitary for all values of the graviton mass and the Hubble parameter with no van Dam-Veltman-Zakharov discontinuity. We argue that this is indeed the case by studying the full nonlinear Hamiltonian for the relevant conformal and helicity-0 longitudinal modes. In particular, we argue that no negative norm state is present in the full nonlinear theory.

• OSTI ID: 21503738
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 12; Other Information: DOI: 10.1103/PhysRevD.82.124001; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DE SITTER SPACE
EQUATIONS OF MOTION
GRAVITATION
HAMILTONIANS
HELICITY
HIGGS BOSONS
HIGGS MODEL
MASS
NONLINEAR PROBLEMS
PYRAZOLINES
SIGMA MODEL
SYMMETRY
AZOLES
BOSON-EXCHANGE MODELS
BOSONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
HETEROCYCLIC COMPOUNDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
ORGANIC COMPOUNDS
ORGANIC NITROGEN COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
POSTULATED PARTICLES
PYRAZOLES
QUANTUM OPERATORS
SPACE