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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
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MAP Seeded by Quantum fluctuations
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Curvature perturbation
time General Relativity
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Power spectrum WMAP7:
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Bispectrum (Non-Gaussianity)
strength shape
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f_NL interaction
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Local shape WMAP7: NVSS: PLANCK:
(Xia, Bonaldi, Baccigalupi, Zotti, Matarrese, Verde, Viel, 2010) PLANCK: Local shape
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WMAP7: Non-local shape
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General Single-field inflation
Chen, Huang, Kachru, Shiu, 2006
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General Single-field inflation
Stability of field theory: General Single-field inflation QGH, JCAP 05(2010)016
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Single-field inflation
Single-field inflation CANNOT generate large local form non-Gaussianity. all single-field inflation models Single-field inflation
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A multiplicity of scalar fields is generally expected in the fundamental theories going beyond standard model, such as supersymmetric theory. Multi fields
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Multi-field inflation
Trajectory is tangent to the gradient of equipotential hypersurface. 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
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End of inflation QGH, JCAP 06(2009)035
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From quantum fluctuations of fields
to the observed density perturbations Reheating Reheating dependens on the dynamics of inflation
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NG generated at the end of multi-field inflation
perturbed trajectory C classical trajectory NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
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NG generated at the end of multi-field inflation
perturbed trajectory C classical trajectory NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
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NG generated at the end of multi-field inflation
perturbed trajectory classical trajectory C NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
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NG generated at the end of multi-field inflation
convex flat concave NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
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NG generated at the end of multi-field inflation
trajectory of inflaton loc. Local shape non-Gaussianity C S NG generated at the end of multi-field inflation QGH, JCAP 06(2009)035
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The next step.
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Scale dependence of f_NL^local
CMB Large-scale structure
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Hoyle, Jimenez, Verde, 2010
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Byrnes, Gerstenlauer, Nurmi, Tasinato, Wands, 2010 QGH, 2010
The spectral index and its running of f_NL^local from an isocurvature field: Byrnes, Gerstenlauer, Nurmi, Tasinato, Wands, 2010 QGH, 2010
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Sefusatti, Liguori, Yadav, Jackson, Pajer, JCAP 12(2009)022
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QGH, JCAP 11(2010)026
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Axion-type curvaton: QGH, JCAP 11(2010)026
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2012
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世界末日???
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新的开始!
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Let’s wait…
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