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This paper contains a detailed study of the properties of a simple model attempting to explain dark energy as originated from quantum fluctuations of a light spectator scalar field in inflation. In [1] we recently outlined how Starobinsky's…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Enis Belgacem , Tomislav Prokopec

We present a complete numerical treatment of inflationary dynamics under the influence of stochastic corrections from sub-Hubble modes. We discuss how to exactly model the stochastic noise terms arising from the sub-Hubble quantum modes…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-02 Aritra De , Rafid Mahbub

Constraining the inflationary epoch is one of the aims of modern cosmology. In order to fully exploit current and future small-scale observations, it is necessary to devise tools to directly relate them to the early universes dynamics. We…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-23 Gabriele Franciolini , Alfredo Urbano

We consider the impact of quantum diffusion on inflationary dynamics during an ultra-slow-roll phase, which can be of particular significance for the formation of primordial black holes. We show, by means of a fully analytical approach,…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-02 Guillermo Ballesteros , Julián Rey , Marco Taoso , Alfredo Urbano

We propose a new single field inflation model in which the usual slow-roll inflation is joined to a new period of slow-climb and slow-roll inflation through a short intermediate non-inflationary phase. We then show that primordial curvature…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-02 Chengjie Fu , Puxun Wu , Hongwei Yu

We investigate the production of primordial black holes and gravitational waves in composite hybrid inflation. Starting from an effective chiral Lagrangian with a dilaton and pions, we identify inflation occurring due to the walking…

High Energy Physics - Phenomenology · Physics 2026-03-24 Giacomo Cacciapaglia , Dhong Yeon Cheong , Aldo Deandrea , Wanda Isnard , Seong Chan Park , Xinpeng Wang , Ying-li Zhang

While moving down the potential on its classical slow roll trajectory, the inflaton field is subject to quantum jumps, which take it up or down the potential at random. In "stochastic inflation", the impact of these quantum jumps is modeled…

High Energy Physics - Theory · Physics 2015-05-20 Larissa Lorenz

We revisit the time evolution of a flat and non-flat direction system during inflation. In order to take into account quantum noises in the analysis, we base on stochastic formalism and solve coupled Langevin equations numerically. We focus…

High Energy Physics - Phenomenology · Physics 2015-06-05 Masahiro Kawasaki , Tomohiro Takesako

Stochastic semiclassical gravity is a theory for the interaction of gravity with quantum matter fields which goes beyond the semiclassical limit. The theory predicts stochastic fluctuations of the classical gravitational field induced by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Enric Verdaguer

We propose a simple analytic fit for the power spectrum of scalar (curvature) perturbations during inflation, in order to describe slow roll of inflaton and formation of primordial black holes in the early universe, in the framework of…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-24 Daniel Frolovsky , Sergei V. Ketov

It has recently been suggested that Planck scale physics may effect the evolution of cosmological fluctuations in the early stages of cosmological inflation in a non-trivial way, leading to an excited state for modes whose wavelength is…

High Energy Physics - Theory · Physics 2009-11-10 Robert H. Brandenberger , Jerome Martin

We review conceptual aspects of inflationary scenarios able to produce primordial black holes, by amplifying the size of curvature fluctuations to the level required for triggering black hole formation. We identify general mechanisms to do…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-10 Ogan Özsoy , Gianmassimo Tasinato

Combining the stochastic and $\delta N$ formalisms, we derive non perturbative analytical expressions for all correlation functions of scalar perturbations in single-field, slow-roll inflation. The standard, classical formulas are recovered…

High Energy Physics - Theory · Physics 2016-12-01 Vincent Vennin , Alexei A. Starobinsky

In inflationary cosmological models driven by an inflaton field the origin of the primordial inhomogeneities which are responsible for large scale structure formation are the quantum fluctuations of the inflaton field. These are usually…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Albert Roura , Enric Verdaguer

These lecture notes are based on those presented at the Theoretical Aspects of Astroparticle Physics, Cosmology and Gravitation School at the Galileo Galilee Institute in Florence in 2021, https://agenda.infn.it/event/24368/. They aim to…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-13 Christian T. Byrnes , Philippa S. Cole

We identify the effective theory describing inflationary super-Hubble scales and show it to be a special case of effective field theories appropriate to open systems. Open systems allow information to be exchanged between the degrees of…

High Energy Physics - Theory · Physics 2015-09-01 C. P. Burgess , R. Holman , G. Tasinato , M. Williams

Hybrid inflation is a two field model where inflation ends due to an instability. In the neighborhood of the instability point, the potential is very flat and the quantum fluctuations dominate over the classical motion of the inflaton and…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-25 Jerome Martin , Vincent Vennin

Constant-rate inflation, including ultra-slow-roll as a special case, has been widely applied to the formation of primordial black holes with significant deviation from the standard slow-roll conditions at both the growing and decaying…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-15 Kin-Wang Ng , Yi-Peng Wu

A primordial black hole (PBH) is interesting to people for its ability of explaining dark matter as well as supermassive astrophysical objects. In the normal inflation scenario, the generation of PBHs usually requires an enhanced power…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-13 Taotao Qiu , Wenyi Wang , Ruifeng Zheng

We consider a subclass of Horndeski theories for studying cosmic inflation. In particular, we investigate models of inflation in which the derivative self-interaction of the scalar field and the non-minimal derivative coupling to gravity…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Gansukh Tumurtushaa