Towards constraining the initial state using non gaussianities
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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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Towards constraining the initial state using non gaussianities

Towards Constraining the initial state using Non-Gaussianities

DaanMeerburg

University of Amsterdam, ITF-API

PASCOS 2008

WORK IN PROGRESS: Meerburg and van derSchaar


Main message

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


Outline

OUTLINE

Introduction

BEFT

(Boundary Effective Field Theory)

Non-Gaussianities

Non-Gaussian Shapes

Conclusions

PASCOS 2008


Introduction

INTRODUCTION

Komatsu et al. 2002

PASCOS 2008


Introduction1

INTRODUCTION

> Degrees of Freedom

Deviation from Random

Quantum fl. ->Inflation

Different Models, Different

Shapes

Signature of Fundamental

Physics

PASCOS 2008


Towards constraining the initial state using non gaussianities

BEFT

2 Possibilities to set a Boundary

NPH

BEFT

Danielsson 2002

Schalm, Shiu& vdSchaar 2005

PASCOS 2008


Towards constraining the initial state using non gaussianities

BEFT

In the language of Actions:

For single field models

PASCOS 2008


Towards constraining the initial state using non gaussianities

BEFT

The idea:

Computing prim. 3p function

Need to consider:

1) 3pf from boundary:

2) 3pf from bulk:

Tolley & Holman 2007, Porrati2005

PASCOS 2008


Towards constraining the initial state using non gaussianities

BEFT

Using the in-in formalism

where

Schwinger 1961, Keldysh 1964

PASCOS 2008


Non gaussianities

NON-GAUSSIANITIES

Contribution from Bulk (SFSR)

With

Holman & Tolley 2007

PASCOS 2008


Non gaussianities1

NON-GAUSSIANITIES

Contribution from Bulk (SFSR)

With

Max:

ENFOLDED!

Holman & Tolley 2007

PASCOS 2008


Non gaussianities2

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


Non gaussian shapes

NON-GAUSSIAN SHAPES

Non-Gaussian Shapes

Local, Equilateral & Enfolded

Komatsu et al,Babich, Creminelli2004

PASCOS 2008


Non gaussian shapes1

NON-GAUSSIAN SHAPES

Factorizable template

Take and replace

and demand

Meerburg & vdSchaar in prep.

PASCOS 2008


Non gaussian shapes2

NON-GAUSSIAN SHAPES

PASCOS 2008


Non gaussian shapes3

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

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Non gaussian shapes4

NON-GAUSSIAN SHAPES

Example: ‘Flat shape’

Can be written as:

When this shape dominates data then:

PASCOS 2008


Conclusions

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


Hypothetical constraints

HYPOTHETICAL CONSTRAINTS

From bulk

If:

Then

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Towards constraining the initial state using non gaussianities

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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