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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

We study the metric perturbations produced during inflation in models with two scalar fields evolving simultaneously. In particular, we emphasize how the large-scale curvature perturbation $\zeta$ on fixed energy density hypersurfaces may…

Astrophysics · Physics 2016-08-24 Juan Garcia-Bellido , David Wands

The $\Delta N$ formalism, based on the counting of the number of e-folds during inflation in different local patches of the Universe, has been introduced several years ago as a simple and physically intuitive approach to calculate…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Sabino Matarrese , Luigi Pilo , Rocco Rollo

Inflationary and bouncing scenarios are two frameworks that provide the mechanism to overcome the horizon problem as well as generate the primordial perturbations. In this work, we investigate the conservation of perturbations in…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-07 Rathul Nath Raveendran

In a holographic description of inflation, cosmological time evolution in the bulk is expected to correspond to the renomalization group (RG) flow in a dual boundary theory. Here, we analyze this expectation by computing the correlation…

High Energy Physics - Theory · Physics 2015-06-19 Jaume Garriga , Yuko Urakawa

In the context of single-field inflation, the conservation of the curvature perturbation on comoving slices, $\R_c$, on super-horizon scales is one of the assumptions necessary to derive the consistency condition between the squeezed limit…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Antonio Enea Romano , Sander Mooij , Misao Sasaki

We discuss metric perturbations produced during a period of inflation in the early universe where two scalar fields evolve. The final scalar perturbation spectrum can be calculated in terms of the perturbed expansion along neighbouring…

Astrophysics · Physics 2007-05-23 David Wands , Juan Garcia-Bellido

In this paper, we prove that the superhorizon conservation of the curvature perturbation zeta in single-field inflation holds as an operator statement. This implies that all zeta-correlators are time independent at all orders in the loop…

High Energy Physics - Theory · Physics 2015-06-11 Valentin Assassi , Daniel Baumann , Daniel Green

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

During inflation, there is a preferred reference frame in which the expansion of the background spacetime is spatially isotropic. In contrast to Minkowski spacetime, observables can depend on the velocity of the system with respect to this…

General Relativity and Quantum Cosmology · Physics 2021-02-16 Tanguy Grall , Scott Melville

Inflation can be supported in very steep potentials if it is generated by rapidly turning fields, which can be natural in negatively curved field spaces. The curvature perturbation, $\zeta$, of these models undergoes an exponential,…

High Energy Physics - Theory · Physics 2019-12-18 Theodor Bjorkmo , Ricardo Z. Ferreira , M. C. David Marsh

Building on the recent lattice simulations of ultra-slow-roll (USR) dynamics presented in arXiv:2410.23942, we investigate the role of the nonlinear relation between the inflaton field configuration and the curvature perturbation $\zeta$,…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Angelo Caravano , Gabriele Franciolini , Sébastien Renaux-Petel

We present the model-independent studies of non attractor inflation in the context of effective field theory (EFT) of inflation. Within the EFT approach two independent branches of non-attractor inflation solutions are discovered in which a…

High Energy Physics - Theory · Physics 2015-08-06 Mohammad Akhshik , Hassan Firouzjahi , Sadra Jazayeri

During single clock inflation, hidden fields (i.e. fields coupled to the inflaton only gravitationally) in their adiabatic vacua can ordinarily only affect observables through virtual effects. After renormalizing background quantities…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Adrian del Rio , Ruth Durrer , Subodh P. Patil

If the entire post-inflationary patch is large compared to our Hubble volume even a small level of non-Gaussianity can cause statistics of the primordial curvature field in our Hubble volume to be biased by mode-coupling. We explicitly…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-15 Marilena LoVerde

Several conserved and/or gauge invariant quantities described as the second-order curvature perturbation have been given in the literature. We revisit various scenarios for the generation of second-order non-gaussianity in the primordial…

Astrophysics · Physics 2007-05-23 David H. Lyth , Yeinzon Rodriguez

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

It is widely known that the primordial curvature perturbation $\zeta$ has several universal properties in the infrared (IR) such as the soft theorem, which is also known as the consistency relation, and the conservation in time. They are…

High Energy Physics - Theory · Physics 2017-11-22 Takahiro Tanaka , Yuko Urakawa

It is known that the curvature perturbation on uniform energy density (or comoving or uniform Hubble) slices on superhorizon scales is conserved to full nonlinear order if the pressure is only a function of the energy density (ie, if the…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-18 Atsushi Naruko , Misao Sasaki

In this paper we discuss a multi-field model of inflation in which generally all fields are non-minimally coupled to the Ricci scalar and have non-canonical kinetic terms. The background evolution and first-order perturbations for the model…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Jonathan White , Masato Minamitsuji , Misao Sasaki
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