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Constraining the Initial State through Non-Gaussianities with BEFT Insights

This work-in-progress paper explores the implications of initial state modifications on non-Gaussianities (NG) within the framework of Boundary Effective Field Theory (BEFT). It emphasizes that such modifications lead to distinctive enfolded NG shapes, which can provide critical constraints on the initial state. The study outlines the significance of different non-Gaussian shapes, including local, equilateral, and enfolded forms, and discusses methodologies for measuring these effects in cosmic microwave background (CMB) data. Ongoing research aims to relate these findings to broader implications in fundamental physics.

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Constraining the Initial State through Non-Gaussianities with BEFT Insights

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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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