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Primordial Non- Gaussianity From Inflation. 黄庆国 21 世纪第二个十年宇宙学研讨会 中国科学院理论物理研究所 2011.3.18. MAP. Seeded by Quantum fluctuations. Curvature perturbation. time. General Relativity. Power spectrum. WMAP7: . Bispectrum (Non-Gaussianity). strength. shape. f_NL. interaction. WMAP7:.
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Primordial Non-Gaussianity From Inflation 黄庆国 21世纪第二个十年宇宙学研讨会 中国科学院理论物理研究所 2011.3.18
MAP Seeded by Quantum fluctuations
Curvature perturbation time General Relativity
Power spectrum WMAP7:
Bispectrum (Non-Gaussianity) strength shape
f_NL interaction
WMAP7: NVSS: (Xia, Bonaldi, Baccigalupi, Zotti, Matarrese, Verde, Viel, 2010) PLANCK: Local shape
WMAP7: Non-local shape
General Single-field inflation Chen, Huang, Kachru, Shiu, 2006
Stability of field theory: General Single-field inflation QGH, JCAP 05(2010)016
Single-field inflation CANNOT generate large local form non-Gaussianity. all single-field inflation models Single-field inflation
A multiplicity of scalar fields is generally expected in the fundamental theories going beyond standard model, such as supersymmetric theory. Multi fields
Trajectory is tangent to the gradient of equipotentialhypersurface. Perturbation along the trajectory affects the value of the energy density. Perturbation transverse to the trajectory only perturbes the field values, but not the energy density. Multi-field inflation
End of inflation QGH, JCAP 06(2009)035
From quantum fluctuations of fields to the observed density perturbations Reheating Reheating dependens on the dynamics of inflation
perturbed trajectory 0 C classical trajectory NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
perturbed trajectory C classical trajectory NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
perturbed trajectory classical trajectory C NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
convex flat concave NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
trajectory of inflaton loc. Local shape non-Gaussianity C S NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
Scale dependence of f_NL^local CMB Large-scale structure
The spectral index and its running of f_NL^local from an isocurvature field: Byrnes, Gerstenlauer, Nurmi, Tasinato, Wands, 2010 QGH, 2010
Axion-type curvaton: QGH, JCAP 11(2010)026