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

Towards Constraining the initial state using Non-GaussianitiesDaan Meerburg

University of Amsterdam, ITF-API

PASCOS 2008

WORK IN PROGRESS: Meerburg and van der Schaar

MAIN MESSAGE

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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

OUTLINE

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Introduction

BEFT(Boundary Effective Field Theory)

Non-Gaussianities

Conclusions

Non-Gaussian Shapes

INTRODUCTION

Komatsu et al. 2002PASCOS 2008

INTRODUCTION

> Degrees of Freedom

Deviation from Random

Quantum fl. -> Inflation

Different Models, Different ShapesSignature of Fundamental Physics

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BEFT2 Possibilities to set a

BoundaryNPH BEFT

Schalm, Shiu & v d Schaar 2005

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Danielsson 2002

BEFT

In the language of Actions:

For single field models

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BEFT

The idea:

Tolley & Holman 2007, Porrati 2005

Computing prim. 3p functionNeed to consider:

1) 3pf from boundary:

2) 3pf from bulk:

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BEFT

Using the in-in formalism

Schwinger 1961, Keldysh 1964

where

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Contribution from Bulk (SFSR)

NON-GAUSSIANITIES

With

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Contribution from Bulk (SFSR)

NON-GAUSSIANITIES

With

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Max:

ENFOLDED!

NON-GAUSSIANITIESContribution from Boundary (WIP):

Poratti et al 2005, Meerburg & v d Schaar

With

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Vanishes for modes , working on details of what happens in between.

For super-horizon modes ( ) :

LOCAL!

NON-GAUSSIAN SHAPES

Non-Gaussian Shapes

Komatsu et al, Babich, Creminelli 2004

Local, Equilateral & Enfolded

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NON-GAUSSIAN SHAPES

Factorizable template

Take and replace and demand

PASCOS 2008 Meerburg & v d Schaar in prep.

NON-GAUSSIAN SHAPES

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NON-GAUSSIAN SHAPES

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Three templates, three extremeTriangles:

Last triangle seem to be unique forInitial state mod.

Equilateral and local shape alone do not completely

parameterize a general 3p function

NON-GAUSSIAN SHAPES

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Example: ‘Flat shape’

Can be written as:

When this shape dominates data then:

CONCLUSIONS

BEFT elegant approach to take all contributions due to initial state mod. in consideration

Non-Gaussianities coming from bulk and boundary differ: shapes, regimeand likely amplitude (WIP)

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Measure using our template to constrain initial state

HYPOTHETICAL CONSTRAINTS

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From bulk

If:

Then

WIPStill need to relate to . Basically comparing a Gaussian to a Non-Gaussian, using one parameter

Constrain in CMB data, as done for and

Consider higher order correlation function in part. for boundary action

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Do these triangles represent a fullset?