Superfluids and the cosmological constant problem
Jeremy Sakstein University of Pennsylvania
PASCOS 2018 Case Western Reserve University 7th June 2018
arXiv: 1805.05937 w/Justin Khoury & Adam R. Solomon
Things people say about the cosmological constant problem
“The mother of all physics problems” — attrib. Susskind
“The unwanted child of two pillars of twentieth century physics: quantum field theory and general relativity” - Padilla Cosmological constant in QFT
Equivalence principle: all energy gravitates
Including the vacuum:
p AAACJHicZVDLSgMxFM3Ud31VXboJFsGFlhkRdFl041LBWqEpJZNJ29A8xiRTKWEW/oxu9T/ciQs3foRfYPoAtT1w4XDOvXDuiVPOjA3Dz6AwN7+wuLS8UlxdW9/YLG1t3xqVaUJrRHGl72JsKGeS1iyznN6lmmIRc1qPexdDv96n2jAlb+wgpU2BO5K1GcHWS63SLjJMIHOvrTvq5Eh3VcshLWAfk7xVKoeVcAQ4S6IJKYMJrlqlb5QokgkqLeHYmEYUprbpsLaMcJoXUWZoikkPd2jDU4kFNU03eiKH+15JYFtpP9LCkfr3wmFhzEDEflNg2zXT3lD89SR9IEoILBOHkiR36BCioaWFS/KpJLZ91nRMppmlkoyDtDMOrYLDxmDCNCWWDzzBRDP/CyRdrDGxvteiLymarmSW3B5XorASXZ+Uq+eTupbBLtgDByACp6AKLsEVqAECHsEzeAGvwVPwFrwHH+PVQjC52QH/EHz9AK8dpe0= g⇢ ⇠ vac
2 ⇤ren = ⇤ + ⇢vac /M
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 pl
gravitates counter term divergent EFT for cosmology 4 mi -3 ⇤ Cut-off is 10 eV: IR ⌧ M 2
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 pl
2 4 µ 4 4 ⇤ = ⇤ + M C m + C m + + C m + IR UV pl e e µ ··· H H ··· 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 loopsX
These have to cancel to 60 decimal places to all loops
Cancellation in the UV — extreme UV-sensitivity Cancellation at all loops — radiative instability Self-tuning — no-go’s
Arrange new fields to cancel a large CC
Weinberg: can’t have Poincare-invariance
fine-tuning Weyl-invariance
Padilla + Niedermann: can’t have broken time-translations
fail solar system tests Our idea: break Lorentz spontaneously Four scalars: solutions of EOM (no tuning) 0 a a
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