1

¿Is relativity accidental?

Nicolás E. Grandi

94a Reunión de Física Argentina

2

Pseudo-Riemannian

structureQuantizationManifoldDynamics

Einstein Gravity

94a Reunión de Física Argentina

3

Einstein Gravity

94a Reunión de Física Argentina

QuantizationNon-

renormalizable by power counting

4

Higher Derivative Gravity

94a Reunión de Física Argentina

Non-renormalizable

by power counting

DynamicsDynamics

Higher derivatives

QuantizationHigher

derivatives

Non-renormalizable

by power counting?

5

QuantizationHigher

derivatives

Non-renormalizable

by power counting?

Higher Derivative Gravity

94a Reunión de Física Argentina

Propagation

6

QuantizationHigher

derivatives

Higher Derivative Gravity

94a Reunión de Física Argentina

Renormalizable by power counting!

Propagation

7

Higher Derivative Gravity

94a Reunión de Física Argentina

PropagationGhosts!

8

Pseudo-Riemannian

structureDynamics

Einstein Gravity

94a Reunión de Física Argentina

9

Einstein Gravity

94a Reunión de Física Argentina

Dynamics

10

Pseudo-Riemannian

structureManifoldFoliatedManifoldHorava

Dynamics

Horava Gravity

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HoravaDynamics

Horava Gravity

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QuantizationNon-

renormalizable by power counting?

12

Horava Gravity

94a Reunión de Física Argentina

Non-renormalizable

by power counting?

PropagationQuantization

Horava

13

No ghosts!

Horava Gravity

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QuantizationHorava

Renormalizable by power counting!

Propagation

14

Horava Gravity

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PropagationDynamicsDetailed Balance

15

Detailed Balance

Horava Gravity

94a Reunión de Física Argentina

16

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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17

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!