Is relativity accidental?

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¿Is relativity accidental?

Nicolás E. Grandi

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Pseudo-Riemannian

structureQuantizationManifoldDynamics

Einstein Gravity

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Einstein Gravity

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QuantizationNon-

renormalizable by power counting

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Higher Derivative Gravity

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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

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Propagation

6

QuantizationHigher

derivatives

Higher Derivative Gravity

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Renormalizable by power counting!

Propagation

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Higher Derivative Gravity

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PropagationGhosts!

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Pseudo-Riemannian

structureDynamics

Einstein Gravity

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Einstein Gravity

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Dynamics

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Pseudo-Riemannian

structureManifoldFoliatedManifoldHorava

Dynamics

Horava Gravity

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HoravaDynamics

Horava Gravity

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QuantizationNon-

renormalizable by power counting?

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Horava Gravity

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Non-renormalizable

by power counting?

PropagationQuantization

Horava

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No ghosts!

Horava Gravity

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QuantizationHorava

Renormalizable by power counting!

Propagation

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Horava Gravity

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PropagationDynamicsDetailed Balance

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Detailed Balance

Horava Gravity

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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

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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

1894a Reunión de Física Argentina

Thanks!