Probing the effects of Lorentz-symmetry violating Chern-Simons and Ricci-Cotton terms in higher derivative gravity

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.084011· OSTI ID:21541477

Pereira-Dias, B; Hernaski, C A; Helayeel-Neto, J A ^[1]

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1. Centro Brasileiro de Pesquisas Fisicas, Rua Dr. Xavier Sigaud 150, Urca, Rio de Janeiro, Brazil, CEP 22290-180 (Brazil)

The combined effects of the Lorentz-symmetry violating Chern-Simons and Ricci-Cotton actions are investigated for the Einstein-Hilbert gravity in the second-order formalism modified by higher derivative terms, and their consequences on the spectrum of excitations are analyzed. We follow the lines of previous works and build up an orthonormal basis of projector-like operators for the degrees of freedom, rather than for the spin modes of the fields. With this new basis, the attainment of the propagators is remarkably simplified and the identification of the physical and unphysical modes becomes more immediate. Our conclusion is that the only tachyon- and ghost-free model is the Einstein-Hilbert action added up by the Chern-Simons term with a timelike vector of the type v{sup {mu}=}({mu},0-vector). Spectral consistency imposes that the Ricci-Cotton term must be switched off. We then infer that gravity with Lorentz-symmetry violation imposes a drastically different constraint on the background if compared to ordinary gauge theories whenever conditions for the suppression of tachyons and ghosts are imposed.

• OSTI ID: 21541477
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 8; Other Information: DOI: 10.1103/PhysRevD.83.084011; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DEGREES OF FREEDOM
EXCITATION
GAUGE INVARIANCE
GRAVITATION
HILBERT SPACE
LORENTZ INVARIANCE
QUANTUM FIELD THEORY
SPECTRA
SPIN
SYMMETRY
SYMMETRY BREAKING
TACHYONS
ANGULAR MOMENTUM
BANACH SPACE
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
PARTICLE PROPERTIES
POSTULATED PARTICLES
SPACE