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The gradient expansion and the separate universe approach provide an effective description of inflationary soft modes after coarse-graining shorter-wavelength degrees of freedom. We formulate a locality condition on the quantum state,…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Takahiro Tanaka , Yuko Urakawa

The primordial perturbation is widely accepted to be generated through the vacuum fluctuation of the scalar field which drives inflation. It is, however, not completely clear what is the natural vacuum in the inflationary universe…

High Energy Physics - Theory · Physics 2016-06-21 Takahiro Tanaka , Yuko Urakawa

We reconsider the derivation of soft theorems associated with nonlinearly-realized symmetries in cosmology. Utilizing the path integral, we derive a generalized consistency relation that relates a squeezed $(N+1)$-point correlation function…

High Energy Physics - Theory · Physics 2019-03-12 Lam Hui , Austin Joyce , Sam S. C. Wong

It has been claimed that the super Hubble modes of the graviton generated during inflation can make loop corrections diverge. Even if we introduce an infrared (IR) cutoff at a comoving scale as an ad hoc but a practical way for the…

High Energy Physics - Theory · Physics 2014-07-02 Takahiro Tanaka , Yuko Urakawa

It is well known that, in single clock inflation, the curvature perturbation $\zeta$ is constant in time on superhorizon scales. In the standard bulk description this follows quite simply from the local conservation of the energy momentum…

High Energy Physics - Theory · Physics 2016-10-26 Jaume Garriga , Yuko Urakawa

In single-field inflationary models the bispectra are usually given in the $\zeta$-gauge, because its temporal part leads to the super-horizon conservation of fluctuations. However, this property is independent of the choice of {\it…

High Energy Physics - Theory · Physics 2022-03-23 Ermis Mitsou , Jaiyul Yoo

It is known that in single scalar field inflationary models the standard curvature perturbation \zeta, which is supposedly conserved at superhorizon scales, diverges during reheating at times d\Phi/dt=0, i.e. when the time derivative of the…

High Energy Physics - Theory · Physics 2015-06-23 Merve Tarman Algan , Ali Kaya , Emine Seyma Kutluk

The conservation of the long wavelength fluctuations of the metric plays a vital role in cosmology as the link between quantum fluctuations during inflation and late time observations. This is a well-known property of the classical…

High Energy Physics - Theory · Physics 2025-02-06 Daniel Green , Kshitij Gupta

We show that a perturbed inflationary spacetime, driven by a canonical single scalar field, is invariant under a special class of coordinate transformations together with a field reparametrization of the curvature perturbation in co-moving…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-15 Rafael Bravo , Sander Mooij , Gonzalo A. Palma , Bastián Pradenas

We examine the emergence of the infrared logarithms in the cosmological perturbation theory applied to the minisuperspace scalar slow-roll inflation. Not surprisingly, in the single scalar field model the curvature perturbation $\zeta$ is…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Ali Kaya

We present a gauge-invariant formalism to study the evolution of the curvature and entropy perturbations in the case in which spatial and time variations of the inflaton decay rate into ordinary matter are present. During the reheating…

Astrophysics · Physics 2009-11-10 Sabino Matarrese , Antonio Riotto

It has been an issue of debate whether the inflationary infrared(IR) divergences are physical or not. Our claim is that, at least, in single-field models, the answer is "No," and that the spurious IR divergence is originating from the…

High Energy Physics - Theory · Physics 2011-08-19 Yuko Urakawa , Takahiro Tanaka

We generalize the effective field theory of single clock inflation to include dissipative effects. Working in unitary gauge we couple a set of composite operators in the effective action which is constrained solely by invariance under…

High Energy Physics - Theory · Physics 2015-05-30 Diana Lopez Nacir , Rafael A. Porto , Leonardo Senatore , Matias Zaldarriaga

We discuss the difference between various gauge-invariant quantities typically used in single-field inflation, namely synchronous $\zeta_s$, comoving $\zeta_c$, and unitary $\zeta_u$ curvatures. We show that conservation of $\zeta_c$…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Macarena Lagos , Meng-Xiang Lin , Wayne Hu

Studying loop corrections to inflationary perturbations, with particular emphasis on infrared factors, is important to understand the consistency of the inflationary theory, its predictivity and to establish the existence of the slow-roll…

High Energy Physics - Theory · Physics 2015-06-11 Leonardo Senatore , Matias Zaldarriaga

We derive soft theorems for single-clock cosmologies that enjoy a shift symmetry. These so-called consistency conditions arise from a combination of a large diffeomorphism and the internal shift-symmetry and fix the squeezed limit of all…

High Energy Physics - Theory · Physics 2018-04-20 Bernardo Finelli , Garrett Goon , Enrico Pajer , Luca Santoni

Cosmological soft theorems (or consistency relations) provide a powerful probe for the physics of inflation. These relations rely on minimal assumptions and hold very generally. Consequently, any violation of these relations would rule out…

High Energy Physics - Theory · Physics 2026-04-14 Farman Ullah

We study leading order perturbative corrections to the two point correlation function of the scalar field describing the curvature perturbation in a slow-roll inflationary background, paying particular attention to the contribution of…

High Energy Physics - Theory · Physics 2015-06-03 Wei Xue , Xian Gao , Robert Brandenberger

We investigate the initial state of the inflationary universe. In our recent publications, we showed that requesting the gauge invariance in the local observable universe to the initial state guarantees the infrared (IR) regularity of loop…

High Energy Physics - Theory · Physics 2016-06-21 Takahiro Tanaka , Yuko Urakawa

We study the generation of local non-Gaussianity in models of canonical single field inflation when their backgrounds are either attractor or non-attractor. We show that the invariance of inflation under space-time diffeomorphisms can be…

High Energy Physics - Theory · Physics 2023-04-13 Rafael Bravo , Gonzalo A. Palma
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