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
94a Reunión de Física Argentina
HoravaDynamics
Horava Gravity
94a Reunión de Física Argentina 11
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
94a Reunión de Física Argentina
QuantizationHorava
Renormalizable by power counting!
Propagation
14
Horava Gravity
94a Reunión de Física Argentina
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
94a Reunión de Física Argentina
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!