navin seminar at aims
TRANSCRIPT
![Page 1: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/1.jpg)
non-gaussianities
in multifield
inflation: the
approach to
adiabaticity and the
fate of fnlnavin sivanandam
[1011.4934 and 1104.5238 – joel meyers, ns]
a.i.m.s. – 21st november 2011
![Page 2: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/2.jpg)
![Page 3: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/3.jpg)
what is
inflation?
![Page 4: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/4.jpg)
the universe is
the same in
every direction
but not quite
![Page 5: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/5.jpg)
the sameexponential expansion
smooth
inhomogeneities
flatten universe
everything causally
connected
![Page 6: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/6.jpg)
not quitequantum fluctuations
stretched and frozen
seed structure growth
![Page 7: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/7.jpg)
![Page 8: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/8.jpg)
negative pressure
scalar field
![Page 9: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/9.jpg)
slow roll
flat(ish) potential
ϕ
![Page 10: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/10.jpg)
![Page 11: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/11.jpg)
quantum fluctuations
2 + 1 degrees of
freedom
time dependent
background
![Page 12: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/12.jpg)
gauge invariance
scalar ζ
fluctuations
constant outside
horizon
![Page 13: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/13.jpg)
t
comoving
wavenumber
![Page 14: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/14.jpg)
![Page 15: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/15.jpg)
![Page 16: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/16.jpg)
![Page 17: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/17.jpg)
![Page 18: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/18.jpg)
inflation is amazing
flatness and
horizons
monopoles
gaussian and scale
invariant
![Page 19: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/19.jpg)
inflation is
(too?)
awesome
![Page 20: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/20.jpg)
getting beyond
“too” awesome
experiments
tensor modes
non-gaussianities
![Page 21: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/21.jpg)
gaussian?
2pt correlation function
is the whole story
temperature Ylm
![Page 22: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/22.jpg)
non-gaussian?
anything else
model
dependent
![Page 23: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/23.jpg)
bispectrum
fNL
![Page 24: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/24.jpg)
experiment
![Page 25: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/25.jpg)
shape = physics
triangles in k-space
fNL(local) (sleight of hand
warning)
small in single field models
![Page 26: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/26.jpg)
models
curvaton
modulated
reheating
multifield mixing
![Page 27: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/27.jpg)
superhorizon
evolution
adiabatic?
![Page 28: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/28.jpg)
goalcompletely
capture generating
fNL and freezing of
perturbations
![Page 29: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/29.jpg)
outlinemodel
adiabaticity
extensions
![Page 30: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/30.jpg)
model
![Page 31: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/31.jpg)
2 field = isocurvature
isocurvature = trouble
![Page 32: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/32.jpg)
multifield
models are
incomplete!
![Page 33: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/33.jpg)
track until adiabatic
after end
thermal eq’m
1 fluid
before end
1 field phase
![Page 34: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/34.jpg)
multifield perturb
theory hard
time-dependent
pdes
cheat – delta N
![Page 35: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/35.jpg)
![Page 36: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/36.jpg)
delta N switches
hard pde
problem into
easier ode one
![Page 37: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/37.jpg)
observables
![Page 38: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/38.jpg)
![Page 39: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/39.jpg)
delta N
![Page 40: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/40.jpg)
![Page 41: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/41.jpg)
![Page 42: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/42.jpg)
![Page 43: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/43.jpg)
![Page 44: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/44.jpg)
large fNLlocal, but
isocurvature
continual
superhorizon
evolution
![Page 45: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/45.jpg)
make isocurvature
heavy
![Page 46: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/46.jpg)
![Page 47: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/47.jpg)
dynamic quantity
![Page 48: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/48.jpg)
summary
![Page 49: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/49.jpg)
next?
higher pt
more fields
potentials
adiabaticity
???
![Page 50: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/50.jpg)
during inflation
vs
after inflation
![Page 51: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/51.jpg)
thermal eq’m
curvaton
modulated
reheating
![Page 52: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/52.jpg)
find toy model
that captures
distinctions in
timing of
physics
![Page 53: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/53.jpg)
summarymaking perturbations
adiabatic kills fNLlocal
in several existing
models
![Page 54: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/54.jpg)
how general?fNL
local is tricky
multifield models
are incomplete
![Page 55: Navin Seminar at AIMS](https://reader033.vdocuments.mx/reader033/viewer/2022052413/559cd37c1a28ab5a7f8b47c1/html5/thumbnails/55.jpg)