Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration...
-
date post
22-Dec-2015 -
Category
Documents
-
view
214 -
download
0
Transcript of Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration...
![Page 1: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/1.jpg)
Scanning Inflation and Reheating
Bottom-up approach to inflation: reconstruction of acceleration trajectories
Top-down approach to inflation:seeks to embed it in fundamental theory
Lev Kofman, CITA
Cosmo05, Bonn September 1, 2005
![Page 2: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/2.jpg)
Early Universe Inflation
Scale factor
time
Realization of Inflation
![Page 3: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/3.jpg)
Particlegenesis
time
Inflation
no entropyno temperature
BANG
![Page 4: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/4.jpg)
![Page 5: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/5.jpg)
Resonant Preheating in Chaotic Inflation
![Page 6: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/6.jpg)
Classical Quantum
Decay of inflatonand preheating after inflation
movieFelder, LK, Peloso,05
![Page 7: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/7.jpg)
Classical Quantum
Decay of inflatonand preheating after inflation
![Page 8: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/8.jpg)
![Page 9: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/9.jpg)
inflationHot FRW
Initial conditions from Inflation
![Page 10: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/10.jpg)
Modulated Fluctuations
Hà1
x~
î ÿ(x~)
î ÿ =Rd3k(akÿk(t)eik
~x~+h:c:)
t
Light field at inflation
Inflation radiation
LK03;Dvali et al,03
![Page 11: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/11.jpg)
Modulated fluctuations in Chaotic Inflation
Podolsky, Felder, LK,Pelosohep-ph/0507096
![Page 12: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/12.jpg)
4 dimensional Inflation predicts
No classical inhomogeneities from the past
Scale free gaussian fluctuations of all light scalars
No vector perturbations
Scalar (almost scale free gaussian) metric perturbations
Tensor (scale free gaussian) metric perturbations
Creation of all SM particles in preheating/thermalization
Òtot =1
Cö÷úû = 0
î ÿk(t)eik~x~
Aö =0
Ð ! Ðk(t)eik~x~
hik ! hk(t)eik~x~eij
Treh
![Page 13: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/13.jpg)
Inflation in the context of ever changing fundamental theory
1980
2000
1990
-inflation Old Inflation
New Inflation Chaotic inflation
Double InflationExtended inflation
DBI inflation
Super-natural Inflation
Hybrid inflation
SUGRA inflation
SUSY F-term inflation SUSY D-term
inflation
SUSY P-term inflation
Brane inflation
K-flationN-flation
Warped Brane inflation
inflation
Power-law inflation
Tachyon inflationRacetrack inflation
Assisted inflation
![Page 14: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/14.jpg)
Search for inflaton with branes in extra dimensions
4-dim picture
Dvali,Tye 98
Prototype of hybrid inflation
![Page 15: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/15.jpg)
Compactification of inner dimensions with branes
Old string theory
New phenomenology
Strongly warped 5d geometry
ds2 = A2(y)(à dt2+dx~2) +gabdyadyb
Randal, Sundrum 99
![Page 16: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/16.jpg)
Stabilization of Inner dimensionsand moduli in string theory
dS4 â M
ds2 = A2(y)(à dt2+e2Htdx~2) +gabdyadyb
![Page 17: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/17.jpg)
![Page 18: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/18.jpg)
Realization of String Theory Inflation
on the ground of KKLT throat warped geometry
Mobile brane
modulated fluctuations
Conformal coupling problem
scalar field associated with angular position at
KKLMMT03
Warped brane inflation
Realization of warped brane inflation with conformal inflaton
![Page 19: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/19.jpg)
Realization of String Theory Chaotic Inflation
Mobile braneChaotic inflation
Mukohyama, LK 05
![Page 20: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/20.jpg)
Reheating after String Theory Inflation
Barnaby, Burgess, Cline, hep-th/0412095
LK, Yi, hep-th/0507257
Frey, Mazumdar, Myers, hep-th/0508139
Chialva, Shiu, Underwood, hep-th/0508229
![Page 21: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/21.jpg)
Open strings
between branes are unstable
End point of inflation
BANG
SM particles
Closed strings
Unstable KK modes
Long-living KK modesrelated to inner isometries
LK, Yi 05
![Page 22: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/22.jpg)
![Page 23: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/23.jpg)
string theoristCY
AdS3+1 FRW
Fluctuations in Cosmology with Compactification
![Page 24: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/24.jpg)
string theoristCY
AdS3+1 FRW
3+1 FRW
Fluctuations in Cosmology with Compactification
CYcosmologist
![Page 25: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/25.jpg)
string theorist
Practical cosmologist
CY
AdS
CY +fluctuations
3+1 FRW
3+1 FRW
3+1 FRW +fluctuations
Fluctuations in Cosmology with Compactification
CYcosmologist
![Page 26: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/26.jpg)
KK story
KK particles are thermalized firstSM particles are thermalized much later
KK from M with isometriesare stable
No complete decya
KK particles freeze out
![Page 27: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/27.jpg)
4 dim Inflation in 10dim String Theory predicts
All what 4 dim inflation predicts
Scale free gaussian fluctuations of many light scalars
Creation of non-SM particles (KK modes) in reheating/thermalization
î ÿk(t)eik~x~
TK K
Short-wavelength gravitational radiation
Modulated cosmological fluctuations
String theory Cosmic strings
![Page 28: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/28.jpg)
Scanning Inflation R.Bond, C.Contaldi,A.Frolov, L.KofmanT.SouradeepP.Vandrevange
Bottom-up
![Page 29: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/29.jpg)
Ensemble of Inflationary trajectories
Chebyshev decomposition
Space of models opens wide
![Page 30: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/30.jpg)
![Page 31: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/31.jpg)
H(N) P(k)
ns;nt; r;dn=dlnk;As; :::
ï ;ñ:::
![Page 32: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/32.jpg)
Observational constraints on trajectories
Markov Chain Monte Carlo
![Page 33: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/33.jpg)
Degeneracy of the Potential Reconstruction
![Page 34: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/34.jpg)
![Page 35: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/35.jpg)
Reconstruction of Inflationary Trajectory
![Page 36: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/36.jpg)
Cosmic Numerology: CMBall + LSS, stable & consistent pre-WMAP1 & post-WMAP1 (BCP03), Jun03 data (BCLP04), CMBall+CBIpol04, CMBall+Boom03+LSS
Jul’21 05, CMBall Jul05
LSS=2dF, SDSS (weak lensing, cluster abundances); also HST, SN1a
As = 22 +- 3 x 10-10
ns = .95 +- .02 (.97 +- .02 with tensor) (+- .004 PL1)
At / As < 0.36 95% CL (+- .02 PL2.5+Spider)
dns /dln k = -.07 +- .04 to -.05 +- .03 (+- .005 P1)
-.002 +- .01 (+Lya McDonald etal 04)
(Aiso / As < 0.3 large scale, < 3 small scale niso = 1.1+-.6)
The Parameters of Cosmic Structur Formation
![Page 37: Scanning Inflation and Reheating Bottom-up approach to inflation: reconstruction of acceleration trajectories Top-down approach to inflation: seeks to.](https://reader030.fdocuments.us/reader030/viewer/2022032704/56649d795503460f94a5d761/html5/thumbnails/37.jpg)