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  Spontaneously broken Lorentz symmetry for Hamiltonian gravity

Gielen, S., & Wise, D. K. (2012). Spontaneously broken Lorentz symmetry for Hamiltonian gravity. Physical Review D, 85: 104013. doi:10.1103/PhysRevD.85.104013.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-5E34-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-5E36-4
Genre: Journal Article

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1111.7195 (Preprint), 259KB
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 Creators:
Gielen, Steffen1, Author              
Wise, Derek K., Author
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1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: In Ashtekar's Hamiltonian formulation of general relativity, and in loop quantum gravity, Lorentz covariance is a subtle issue that has been strongly debated. Maintaining manifest Lorentz covariance seems to require introducing either complex-valued fields or second class constraints, and either option presents a significant obstacle to quantization. After reviewing the sources of difficulty, we present a Lorentz covariant, real formulation free of second class constraints. Rather than a foliation of spacetime, we use a gauge field y, interpreted as a field of observers, to break the SO(3,1) symmetry down to a subgroup SO(3)_y. This symmetry breaking plays a role analogous to that in MacDowell-Mansouri gravity, which is based on Cartan geometry, leading us to a picture of gravity as 'Cartan geometrodynamics.' We study both Lorentz gauge transformations and transformations of the observer field to show that the apparent breaking of SO(3,1) to SO(3) is not in conflict with Lorentz covariance.

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 Dates: 2011-11-302012
 Publication Status: Published in print
 Pages: 10 pages, revtex, APS style
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1111.7195
DOI: 10.1103/PhysRevD.85.104013
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 85 Sequence Number: 104013 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258