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A semiclassical description of quantum systems is applied to probe the dynamics of the cosmological model of an inflationary universe with quadratic inflaton potential, described in a quantum framework of geometrodynamics. The systematic…

广义相对论与量子宇宙学 · 物理学 2022-10-27 David Brizuela , Tomasz Pawlowski

In most current models of inflation based on a weakly self-coupled scalar matter field minimally coupled to gravity, the period of inflation lasts so long that, at the beginning of the inflationary period, the physical wavelengths of…

高能物理 - 理论 · 物理学 2008-11-26 Jerome Martin , Robert H. Brandenberger

Stochastic Inflation is an important framework for understanding the physics of de Sitter space and the phenomenology of inflation. In the leading approximation, this approach results in a Fokker-Planck equation that calculates the…

高能物理 - 理论 · 物理学 2021-10-13 Timothy Cohen , Daniel Green , Akhil Premkumar , Alexander Ridgway

We present and discuss a new approach increasing by orders of magnitude the speed of performing Bayesian inference and parameter estimation within the framework of slow-roll inflation. The method relies on the determination of an effective…

宇宙学与河外天体物理 · 物理学 2014-06-03 Christophe Ringeval

We provide a study of the effects of the Effective Field Theory (EFT) generalisation of stochastic inflation on the production of primordial black holes (PBHs) in a model-independent single-field context. We demonstrate how the scalar…

广义相对论与量子宇宙学 · 物理学 2025-12-05 Sayantan Choudhury

We compute numerically the reheating temperature due to the gravitational production of conformally coupled superheavy particles during the phase transition from the end of inflation to the beginning of kination in two different…

广义相对论与量子宇宙学 · 物理学 2023-01-03 Jaume de Haro , Llibert Aresté Saló

Non-linear interactions during inflation generate non-Gaussianities in the distribution of primordial curvature. In many theories, the physics is scale-invariant, such that the induced three-point function depends solely on a dimensionless…

宇宙学与河外天体物理 · 物理学 2026-03-27 Oliver H. E. Philcox

We develop a stochastic approach to a non de Sitter Universe in a gauge-invariant way and obtain a system of Langevin-type equations which may be considered to be renormalization group equations for the long wave parts of the scalar fields…

高能物理 - 理论 · 物理学 2008-02-03 Boris Spokoiny

We present a generic inference method for inflation models from observational data by the usage of higher-order statistics of the curvature perturbation on uniform density hypersurfaces. This method is based on the calculation of the…

宇宙学与河外天体物理 · 物理学 2014-06-25 Sebastian Dorn , Erandy Ramirez , Kerstin E. Kunze , Stefan Hofmann , Torsten A. Enßlin

The basic idea of importance sampling is to use independent samples from a proposal measure in order to approximate expectations with respect to a target measure. It is key to understand how many samples are required in order to guarantee…

统计计算 · 统计学 2017-01-17 S. Agapiou , O. Papaspiliopoulos , D. Sanz-Alonso , A. M. Stuart

We study stochastic inflation in the presence of higher-curvature terms non-minimally coupled to the inflaton. Focusing on quadratic curvature invariants, we single out the Gauss-Bonnet term which is known to avoid ghosts, while having…

广义相对论与量子宇宙学 · 物理学 2026-05-14 Yermek Aldabergenov , Ding Ding , Wei Lin , Yidun Wan

We use lattice simulations to examine the detailed dynamics of inflaton fragmentation during and after preheating in $\lambda \phi^4$ chaotic inflation. The dynamics are qualitatively similar to preheating after $m^2 \phi^2$ inflation,…

高能物理 - 唯象学 · 物理学 2010-10-27 Gary N Felder , Olga Navros

We present a review on the state-of-the-art of the mathematical framework known as stochastic inflation, paying special attention to its derivation and giving references for the readers interested on results coming from the application of…

广义相对论与量子宇宙学 · 物理学 2022-06-20 Diego Cruces

Stochastic methods offer an effective way to suppress coherent errors in quantum simulation. In particular, the randomized compilation protocol may reduce circuit depth by randomly sampling Hamiltonian terms rather than following the…

量子物理 · 物理学 2026-05-15 Yu-Xia Wu , Yun-Zhuo Fan , Dan-Bo Zhang

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…

宇宙学与河外天体物理 · 物理学 2014-01-15 Marilena LoVerde

Inflation models can have an early phase of inflation where the evolution of the inflaton is driven by quantum fluctuations before entering the phase driven by the slope of the scalar field potential. For a Coleman-Weinberg potential this…

宇宙学与河外天体物理 · 物理学 2013-03-06 Arjun Berera , Raghavan Rangarajan

The probability of there being sufficient inflation to solve the fine-tuning associated with the horizon and flatness problems has recently been shown to be exponentially small, within the context of classical general relativity. Here this…

广义相对论与量子宇宙学 · 物理学 2007-08-27 William Nelson

A long-standing problem in primordial cosmology is to understand the precise relation between the stochastic formalism and standard perturbation theory for light scalar fields in inflationary spacetimes. A complete correspondence between…

高能物理 - 理论 · 物理学 2026-02-10 Gonzalo A. Palma , Spyros Sypsas

It is becoming increasingly clear that large but rare fluctuations of the primordial curvature field, controlled by the tail of its probability distribution, could have dramatic effects on the current structure of the universe -- {\it e.g.}…

高能物理 - 理论 · 物理学 2022-05-25 Ana Achucarro , Sebastian Cespedes , Anne-Christine Davis , Gonzalo A. Palma

The simplest inflationary models predict the primordial power spectrum (PPS) of curvature perturbations to be nearly scale-invariant. However, various other models of inflation predict deviations from this behaviour, motivating a…

宇宙学与河外天体物理 · 物理学 2025-09-03 Subarna Chaki , Andrina Nicola , Alessio Spurio Mancini , Davide Piras , Robert Reischke