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On the Extra Mode and Inconsistency of Horava Gravity

We address the consistency of Horava's proposal for a theory of quantum gravity from the low-energy perspective. We uncover the additional scalar degree of freedom arising from the explicit breaking of the general covariance and study its properties. The analysis is performed both in the origin...

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Detalles Bibliográficos
Autores principales: Blas, D., Pujolas, O., Sibiryakov, S.
Lenguaje:eng
Publicado: 2009
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2009/10/029
http://cds.cern.ch/record/1184512
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author Blas, D.
Pujolas, O.
Sibiryakov, S.
author_facet Blas, D.
Pujolas, O.
Sibiryakov, S.
author_sort Blas, D.
collection CERN
description We address the consistency of Horava's proposal for a theory of quantum gravity from the low-energy perspective. We uncover the additional scalar degree of freedom arising from the explicit breaking of the general covariance and study its properties. The analysis is performed both in the original formulation of the theory and in the Stueckelberg picture. A peculiarity of the new mode is that it satisfies an equation of motion that is of first order in time derivatives. At linear level the mode is manifest only around spatially inhomogeneous and time-dependent backgrounds. We find two serious problems associated with this mode. First, the mode develops very fast exponential instabilities at short distances. Second, it becomes strongly coupled at an extremely low cutoff scale. We also discuss the "projectable" version of Horava's proposal and argue that this version can be understood as a certain limit of the ghost condensate model. The theory is still problematic since the additional field generically forms caustics and, again, has a very low strong coupling scale. We clarify some subtleties that arise in the application of the Stueckelberg formalism to Horava's model due to its non-relativistic nature.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
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spelling cern-11845122023-01-26T07:20:05Zdoi:10.1088/1126-6708/2009/10/029http://cds.cern.ch/record/1184512engBlas, D.Pujolas, O.Sibiryakov, S.On the Extra Mode and Inconsistency of Horava GravityParticle Physics - TheoryWe address the consistency of Horava's proposal for a theory of quantum gravity from the low-energy perspective. We uncover the additional scalar degree of freedom arising from the explicit breaking of the general covariance and study its properties. The analysis is performed both in the original formulation of the theory and in the Stueckelberg picture. A peculiarity of the new mode is that it satisfies an equation of motion that is of first order in time derivatives. At linear level the mode is manifest only around spatially inhomogeneous and time-dependent backgrounds. We find two serious problems associated with this mode. First, the mode develops very fast exponential instabilities at short distances. Second, it becomes strongly coupled at an extremely low cutoff scale. We also discuss the "projectable" version of Horava's proposal and argue that this version can be understood as a certain limit of the ghost condensate model. The theory is still problematic since the additional field generically forms caustics and, again, has a very low strong coupling scale. We clarify some subtleties that arise in the application of the Stueckelberg formalism to Horava's model due to its non-relativistic nature.We address the consistency of Horava's proposal for a theory of quantum gravity from the low-energy perspective. We uncover the additional scalar degree of freedom arising from the explicit breaking of the general covariance and study its properties. The analysis is performed both in the original formulation of the theory and in the Stueckelberg picture. A peculiarity of the new mode is that it satisfies an equation of motion that is of first order in time derivatives. At linear level the mode is manifest only around spatially inhomogeneous and time-dependent backgrounds. We find two serious problems associated with this mode. First, the mode develops very fast exponential instabilities at short distances. Second, it becomes strongly coupled at an extremely low cutoff scale. We also discuss the 'projectable' version of Horava's proposal and argue that this version can be understood as a certain limit of the ghost condensate model. The theory is still problematic since the additional field generically forms caustics and, again, has a very low strong coupling scale. We clarify some subtleties that arise in the application of the Stueckelberg formalism to Horava's model due to its non-relativistic nature.arXiv:0906.3046CERN-PH-TH-2009-087CERN-PH-TH-2009-087oai:cds.cern.ch:11845122009-06-18
spellingShingle Particle Physics - Theory
Blas, D.
Pujolas, O.
Sibiryakov, S.
On the Extra Mode and Inconsistency of Horava Gravity
title On the Extra Mode and Inconsistency of Horava Gravity
title_full On the Extra Mode and Inconsistency of Horava Gravity
title_fullStr On the Extra Mode and Inconsistency of Horava Gravity
title_full_unstemmed On the Extra Mode and Inconsistency of Horava Gravity
title_short On the Extra Mode and Inconsistency of Horava Gravity
title_sort on the extra mode and inconsistency of horava gravity
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2009/10/029
http://cds.cern.ch/record/1184512
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