Searching for LV in the gravitational field · gravitational field? F~ (Not to scale) a) The force...
Transcript of Searching for LV in the gravitational field · gravitational field? F~ (Not to scale) a) The force...
Searching for LV in the gravitational
field
Jay D. Tasson
Carleton College
outline
• basics – a Newtonian example
• a few comments on General Relativity
• constructing the post-Newtonian framework
• experiments
Quentin Bailey, Alan Kostelecky PRD 2006
Newtonian exampleQ: what does it mean to have Lorentz violation in the
gravitational field?
~F
(Not to scale)
a) The force changes when you
rotate the observer.
b) The force changes when you
rotate the tennis ball
c) The force changes when you
rotate the Earth and the tennis
ball about a common axis
d) The force changes when you
rotate the Earth
e) None of the above
Newtonian exampleQ: what does it mean to have Lorentz violation in the
gravitational field?
~F
(Not to scale)
a) The force changes when you
rotate the observer.
b) The force changes when you
rotate the tennis ball
c) The force changes when you
rotate the Earth and the tennis
ball about a common axis
d) The force changes when you
rotate the Earth
e) None of the above
~F =m~g
Newtonian exampleQ: what does it mean to have Lorentz violation in the
gravitational field?
~F
(Not to scale)
a) The force changes when you
rotate the observer.
b) The force changes when you
rotate the tennis ball
c) The force changes when you
rotate the Earth and the tennis
ball about a common axis
d) The force changes when you
rotate the Earth
e) None of the above
~F =m~g(1+LV )
Sun-centered frame
lunar laser ranging
binary pulsar
perihelion shift of planets
gyroscope experiment
light propagation
gravimeter tests
torsion-pendulum tests
Gravitational experiments
Newtonian exampleQ: How can you measure s?
~F
(Not to scale)
~F =m~g(1¡ 112sXY sin
2 Â sin(2!T +2Ã) + : : :)
ongoing searches with...
proposals based on: Bailey, Kostelecky, PRD ’06
Bailey, PRD ’09
• solar-system tests Battat, Chandler, Stubbs, PRL ’07
• gravimeters Mueller et al., PRL ’08
(atom interferometer) Chung et al., PRD ’09
• laboratory gravity Long, in CPT 10
• binary pulsars
• gyroscope
• light travel
LLV =Lfermion+Lphoton+Lpuregravity+ : : :
PPN vs. SME
framework PPN SME
parameterizes
deviations from:
General Relativity
(including some
Lorentz violation)
exact Lorentz invariance
(including some
corrections to GR)
expansion about: GR metric GR + standard model
lagrangian
GR corrections? Yes Yes, different ones!
matter sector
/standard model
corrections?
No Yes
Lorentz invariant
corrections?
Yes (not primary interest)
parameterized deviations from GR are different!
Example: pure-gravity sector of minimal SME vs. PPN
• different coefficients
• can lead to qualitatively different results
If you currently investigate the PPN,
you may be able to test additional
physics using the SME!
Bailey, Kostelecky, PRD ’06