Curvature and isocurvature perturbations in two-field inflation Krzysztof Turzyński (University of...
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Transcript of Curvature and isocurvature perturbations in two-field inflation Krzysztof Turzyński (University of...
Curvature and isocurvature
perturbations in two-field inflation
Krzysztof Turzyński(University of Michigan)
based on arXiv:0704.0212 with Z.Lalak, D.Langlois and S.Pokorski
Inflation
V
• solves the flatness problem
• solves the horizon problem
• dilutes any preexisting relics
• generates primordial density perturbations through quantum fluctuations of the coupled inflaton-gravity system
V2
2
1 V 2
2
1 Vp 2
2
1
22
2
2 PlMH
23H
V
small = slow-roll
03 VH
23
1
PlMa
aH
Curvature perturbations
Q gauge invariant variable describing perturbations
Q
HR 3-dim curvature of the comoving density
hypersurfaces
Road map
inflation radiation domination
matter domination
dark energy domination
CMB
hic sunt
leones
horizon length scale
Curvature and isocurvature perturbations
Hubble crossing
inflation ends
bev ,
fixed k
curvatureperturbation
isocurvatureperturbation
Conclusions
good motivation to look for the implications of next-to-minimal models of inflation
richer dynamics; possible generation of isocurvature perturbations (after reheating)
message of caution: predictions may differ from the single-field case
We have a tool (for studying the evolution of the multi-inflaton systems)
and won’t hesitate to use it!