CMB from EFT

Abstract

In this work, we study the key role of generic Effective Field Theory (EFT) framework to quantify the correlation functions in a quasi de Sitter background for an arbitrary initial choice of the quantum vacuum state. We perform the computation in unitary gauge, in which we apply the St$\ddot{\text{u}}$ckelberg trick in lowest dimensional EFT operators which are broken under time diffeomorphism. In particular, using this non-linear realization of broken time diffeomorphism and truncating the action by considering the contribution from two derivative terms in the metric, we compute the two-point and three-point correlations from scalar perturbations and two-point correlation from tensor perturbations to quantify the quantum fluctuations observed in the Cosmic Microwave Background (CMB) map. We also use equilateral limit and squeezed limit configurations for the scalar three-point correlations in Fourier space. To give future predictions from EFT setup and to check the consistency of our derived results for correlations, we use the results obtained from all classes of the canonical single-field and general single-field $P(X,\varphi )$ model. This analysis helps us to fix the coefficients of the relevant operators in EFT in terms of the slow-roll parameters and effective sound speed. Finally, using CMB observations from Planck we constrain all these coefficients of EFT operators for the single-field slow-roll inflationary paradigm.

81 pages, Revised version, Accepted for publication in Universe. This is an invited article which is explicitly written for a special issue "Cosmological Constant Puzzle" of Universe. This project is the part of the non-profit virtual international research consortium "Quantum Structures of the Space-Time & Matter''

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• Entanglement negativity in de Sitter biverse from Stringy Axionic Bell pair: An analysis using Bunch-Davies vacuum
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Stochastic origin of primordial fluctuations in the Sky
• Causality Constraint on Circuit Complexity from $COSMOEFT$
• Reconstructing inflationary potential from NANOGrav 15-year Data: A robust study using Non-Bunch Davies initial condition
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
• RRR fluctuations from non-singular bounce
• Primordial magnetic non-Gaussianity with generic vacua and detection prospects in CMB spectral distortions