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We derive an uncertainty relation for the energy density and pressure of a quantum scalar field in a time-dependent, homogeneous and isotropic, classical background, which implies the existence of large fluctuations comparable to their…

广义相对论与量子宇宙学 · 物理学 2013-06-04 Ali Kaya

Effective field theory provides a perturbative framework to study the evolution of cosmological large-scale structure. We investigate the underpinnings of this approach, and suggest new ways to compute correlation functions of cosmological…

高能物理 - 理论 · 物理学 2014-07-16 Sean M. Carroll , Stefan Leichenauer , Jason Pollack

The evolution of the spectrum of cosmological fluctuations from one cycle to the next is studied. It is pointed out that each cycle leads to a reddening of the spectrum. This opens up new ways to generate a scale-invariant spectrum of…

高能物理 - 理论 · 物理学 2009-09-02 Robert H. Brandenberger

I present a streamlined review of how the separate universe approach to cosmological perturbation theory can be used to study the dynamics of long-wavelength scalar perturbations in loop quantum cosmology, and then use it to calculate how…

广义相对论与量子宇宙学 · 物理学 2016-08-03 Edward Wilson-Ewing

We reconsider cosmological perturbation theory for multi-component scalars, enforcing covariance in field-space, and ensuring that phyical observations are independent of field re-definitions. We use the formalism to clarify some issues in…

高能物理 - 理论 · 物理学 2015-06-04 Paul M. Saffin

We note that the decoherence of inflationary curvature perturbation $\zeta$ is dominated by a boundary term of the gravity action. Although this boundary term cannot affect cosmological correlators $\left\langle \zeta^n \right\rangle$, it…

高能物理 - 理论 · 物理学 2023-04-25 Chon Man Sou , Duc Huy Tran , Yi Wang

A plausible physical interpretation of the renormalizability condition is given. It is shown that renormalizable quantum field theories describe such systems wherein the tendency to collapse associated with vacuum fluctuations of attractive…

高能物理 - 理论 · 物理学 2007-05-23 B. P. Kosyakov

Cosmology in extended theories of gravity is considered assuming the Palatini variational principle, for which the metric and connection are independent variables. The field equations are derived to linear order in perturbations about the…

天体物理学 · 物理学 2015-06-24 Tomi Koivisto , Hannu Kurki-Suonio

These lecture notes provide a pedagogical introduction to some aspects of the inflationary cosmology, including the background scalar field dynamics, generation of primordial seed perturbations via quantum fluctuations during inflation, and…

广义相对论与量子宇宙学 · 物理学 2024-03-19 Swagat S. Mishra

A brief introduction to the gauge invariant classical and quantum theory of cosmological perturbations is given. The formalism is applied to inflationary Universe models and yields a consistent and unified description of the generation and…

天体物理学 · 物理学 2007-05-23 R. Brandenberger , H. Feldman , V. Mukhanov

We give a concise, self-contained introduction to perturbation theory in cosmology at linear and second order, striking a balance between mathematical rigour and usability. In particular we discuss gauge issues and the active and passive…

天体物理学 · 物理学 2009-06-23 Karim A. Malik , David R. Matravers

We present a set of equations describing the evolution of the scalar-type cosmological perturbation in a gravity with general quadratic order curvature coupling terms. Equations are presented in a gauge ready form, thus are ready to…

广义相对论与量子宇宙学 · 物理学 2011-08-17 H. Noh , J. Hwang

The linear cosmological perturbation theory of almost homogeneous and isotropic perfect fluid and scalar field universes is reconsidered and formally simplified. Using the existence of a covariant conserved quantity on large perturbation…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Winfried Zimdahl

A method to regularize and renormalize the fluctuations of a quantum field in a curved background in the $\zeta$-function approach is presented. The method produces finite quantities directly and finite scale-parametrized counterterms at…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Valter Moretti , Devis Iellici

We present an explicit formulation of cosmological perturbation theory for three-field models with a flat field space. By performing rotations to align one field with the direction of curvature perturbations and applying the same rotations…

高能物理 - 理论 · 物理学 2026-01-28 Amjad Ashoorioon , Shinji Mukohyama , Kazem Rezazadeh , Navid Talebizadeh

We suggest a new conceptual frame where inflationary Cosmology is quantum mechanically described using the Hilbert space representation of the crossed product of the type $III$ factor associated with the algebra of local operators on the de…

高能物理 - 理论 · 物理学 2022-07-15 Cesar Gomez

In the framework of scalar-tensor theories of gravity, we construct a new kind of cosmological model that conflates inflation and ekpyrosis. During a phase of conflation, the universe undergoes accelerated expansion, but with crucial…

高能物理 - 理论 · 物理学 2016-09-07 Angelika Fertig , Jean-Luc Lehners , Enno Mallwitz

We apply the effective field theory approach to the coupled metric-inflaton system, in order to investigate the impact of higher dimension operators on the spectrum of scalar and tensor perturbations in the short-wavelength regime. In both…

高能物理 - 理论 · 物理学 2009-09-28 Cristian Armendariz-Picon , Michele Fontanini , Riccardo Penco , Mark Trodden

According to the inflationary scenario of cosmology, all structure in the Universe can be traced back to primordial fluctuations during an accelerated (inflationary) phase of the very early Universe. A conceptual problem arises due to the…

天体物理学 · 物理学 2010-04-28 Claus Kiefer , David Polarski

A fully consistent linear perturbation theory for cosmology is derived in the presence of quantum corrections as they are suggested by properties of inverse volume operators in loop quantum gravity. The underlying constraints present a…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Martin Bojowald , Golam Mortuza Hossain , Mikhail Kagan , S. Shankaranarayanan