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Towards Constraining the initial state using Non- Gaussianities

Towards Constraining the initial state using Non- Gaussianities. Daan Meerburg University of Amsterdam, ITF-API PASCOS 2008. WORK IN PROGRESS : Meerburg and van der Schaar. MAIN MESSAGE. Initial state modifications always lead to enfolded non- Gaussianities (NG)

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Towards Constraining the initial state using Non- Gaussianities

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  1. Towards Constraining the initial state using Non-Gaussianities DaanMeerburg University of Amsterdam, ITF-API PASCOS 2008 WORK IN PROGRESS: Meerburg and van derSchaar

  2. MAIN MESSAGE Initial state modifications always lead to enfolded non-Gaussianities (NG) BEFT gives extra contribution ((cor)related) [WIP] Construction of enfolded template Bounding enfolded NG might strongly constrain the initial state PASCOS 2008

  3. OUTLINE Introduction BEFT (Boundary Effective Field Theory) Non-Gaussianities Non-Gaussian Shapes Conclusions PASCOS 2008

  4. INTRODUCTION Komatsu et al. 2002 PASCOS 2008

  5. INTRODUCTION > Degrees of Freedom Deviation from Random Quantum fl. ->Inflation Different Models, Different Shapes Signature of Fundamental Physics PASCOS 2008

  6. BEFT 2 Possibilities to set a Boundary NPH BEFT Danielsson 2002 Schalm, Shiu& vdSchaar 2005 PASCOS 2008

  7. BEFT In the language of Actions: For single field models PASCOS 2008

  8. BEFT The idea: Computing prim. 3p function Need to consider: 1) 3pf from boundary: 2) 3pf from bulk: Tolley & Holman 2007, Porrati2005 PASCOS 2008

  9. BEFT Using the in-in formalism where Schwinger 1961, Keldysh 1964 PASCOS 2008

  10. NON-GAUSSIANITIES Contribution from Bulk (SFSR) With Holman & Tolley 2007 PASCOS 2008

  11. NON-GAUSSIANITIES Contribution from Bulk (SFSR) With Max: ENFOLDED! Holman & Tolley 2007 PASCOS 2008

  12. NON-GAUSSIANITIES Contribution from Boundary (WIP): With Vanishes for modes , working on details of what happens in between. For super-horizon modes ( ) : LOCAL! Poratti et al 2005, Meerburg & vdSchaar PASCOS 2008

  13. NON-GAUSSIAN SHAPES Non-Gaussian Shapes Local, Equilateral & Enfolded Komatsu et al,Babich, Creminelli2004 PASCOS 2008

  14. NON-GAUSSIAN SHAPES Factorizable template Take and replace and demand Meerburg & vdSchaar in prep. PASCOS 2008

  15. NON-GAUSSIAN SHAPES PASCOS 2008

  16. NON-GAUSSIAN SHAPES Three templates, three extreme Triangles: Last triangle seem to be unique for Initial state mod. Equilateral and local shape alone do not completely parameterize a general 3p function PASCOS 2008

  17. NON-GAUSSIAN SHAPES Example: ‘Flat shape’ Can be written as: When this shape dominates data then: PASCOS 2008

  18. CONCLUSIONS BEFT elegant approach to take all contributions due to initial state mod. in consideration Non-Gaussianities coming from bulk and boundary differ: shapes, regime and likely amplitude (WIP) Measure using our template to constrain initial state PASCOS 2008

  19. HYPOTHETICAL CONSTRAINTS From bulk If: Then PASCOS 2008

  20. WIP Still need to relate to . Basically comparing a Gaussian to a Non-Gaussian, using one parameter Constrain in CMB data, as done for and Do these triangles represent a full set? Consider higher order correlation function in part. for boundary action PASCOS 2008

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