is relativity accidental?
TRANSCRIPT
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¿Is relativity accidental?
Nicolás E. Grandi
94a Reunión de Física Argentina
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Pseudo-Riemannian
structureQuantizationManifoldDynamics
Einstein Gravity
94a Reunión de Física Argentina
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Einstein Gravity
94a Reunión de Física Argentina
QuantizationNon-
renormalizable by power counting
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Higher Derivative Gravity
94a Reunión de Física Argentina
Non-renormalizable
by power counting
DynamicsDynamics
Higher derivatives
QuantizationHigher
derivatives
Non-renormalizable
by power counting?
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QuantizationHigher
derivatives
Non-renormalizable
by power counting?
Higher Derivative Gravity
94a Reunión de Física Argentina
Propagation
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QuantizationHigher
derivatives
Higher Derivative Gravity
94a Reunión de Física Argentina
Renormalizable by power counting!
Propagation
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Higher Derivative Gravity
94a Reunión de Física Argentina
PropagationGhosts!
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Pseudo-Riemannian
structureDynamics
Einstein Gravity
94a Reunión de Física Argentina
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Einstein Gravity
94a Reunión de Física Argentina
Dynamics
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Pseudo-Riemannian
structureManifoldFoliatedManifoldHorava
Dynamics
Horava Gravity
94a Reunión de Física Argentina
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HoravaDynamics
Horava Gravity
94a Reunión de Física Argentina 11
QuantizationNon-
renormalizable by power counting?
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Horava Gravity
94a Reunión de Física Argentina
Non-renormalizable
by power counting?
PropagationQuantization
Horava
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No ghosts!
Horava Gravity
94a Reunión de Física Argentina
QuantizationHorava
Renormalizable by power counting!
Propagation
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Horava Gravity
94a Reunión de Física Argentina
PropagationDynamicsDetailed Balance
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Detailed Balance
Horava Gravity
94a Reunión de Física Argentina
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Horava Gravity
- Power counting renormalizable (field) theory of gravity
- No ghost
- Recovers relativistic invariance at low energies as an accidental symmetry
94a Reunión de Física Argentina
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Horava Gravity
- One less gauge invariance -> one extra mode– - Non propagating in flat space
– - Strogly coupled to matter and exponencially unstable in generic backgrounds
- Possible solutions- Extra gauge invariances? (Anisotropic Weil
invariance for l=1/3)- Covariantize the theory
- Is l really equal to 1 ?94a Reunión de Física Argentina
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1894a Reunión de Física Argentina
Thanks!