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The next decade will feature an abundance of novel cosmological data, while many fundamental questions about inflation remain. Given this, there is ample need for maximally efficient calculations, especially in non-standard scenarios for…

广义相对论与量子宇宙学 · 物理学 2023-05-10 Panagiotis Christeas , Logan Thomas

This is a technical note on the $i\epsilon$ prescription in cosmology where we consider a self-interacting scalar field in the Poincare patch of the de Sitter space whose Hamiltonian has explicit time dependence. We use both path integral…

广义相对论与量子宇宙学 · 物理学 2019-04-10 Ali Kaya

We consider scalar field theory in de Sitter space with a general vacuum invariant under the continuously connected symmetries of the de Sitter group. We begin by reviewing approaches to define this as a perturbative quantum field theory.…

高能物理 - 理论 · 物理学 2009-11-10 Kevin Goldstein , David A. Lowe

Increasingly accurate observations are driving theoretical cosmology toward the use of more sophisticated descriptions of matter and the study of nonlinear perturbations of FL cosmologies, whose governing equations are notoriously…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Claes Uggla , John Wainwright

It is shown that a first-order cosmological perturbation theory for the open, flat and closed Friedmann-Lema\^itre-Robertson-Walker universes admits one, and only one, gauge-invariant variable which describes the perturbation to the energy…

广义相对论与量子宇宙学 · 物理学 2014-10-02 P. G. Miedema , W. A. van Leeuwen

Unitarity of time evolution is one of the basic principles constraining physical processes. Its consequences in the perturbative Bunch-Davies wavefunction in cosmology have been formulated in terms of the cosmological optical theorem. In…

高能物理 - 理论 · 物理学 2024-05-16 Soner Albayrak , Paolo Benincasa , Carlos Duaso Pueyo

After introducing gauge-invariant cosmological perturbation theory we give an improved set of governing equations for multiple fluids including energy transfer. Having defined adiabatic and entropic perturbations we derive the…

天体物理学 · 物理学 2007-05-23 Karim A. Malik

After a brief summary of decoherence and quantum to classical transition in cosmology we focus on the study of quantum decoherence of cosmological perturbations in inflationary universe, that does not rely on any environment. This is what…

广义相对论与量子宇宙学 · 物理学 2024-10-14 Jen-Tsung Hsiang , Bei-Lok Hu

The one-loop effective action for non-minimal scalar modified gravity on de Sitter background with a constant scalar field is found. The corresponding induced cosmological constant is evaluated. It is shown that quantum effects in…

广义相对论与量子宇宙学 · 物理学 2011-04-07 G. Cognola , E. Elizalde , S. Nojiri , S. D. Odintsov

We explore a background-independent theory of composite gravity. The vacuum expectation value of the composite metric satisfies Einstein's equations (with corrections) as a consistency condition, and selects the vacuum spacetime. A…

广义相对论与量子宇宙学 · 物理学 2021-06-09 Austin J. Batz , Joshua Erlich , Luke Mrini

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…

高能物理 - 理论 · 物理学 2015-06-03 Wei Xue , Xian Gao , Robert Brandenberger

The theory of cosmological perturbations is extended to spacetimes displaying isotropic expansion but anisotropic curvature. The perturbed Einstein equation and Boltzmann equations for massless and massive particles are derived in a general…

广义相对论与量子宇宙学 · 物理学 2014-05-08 T. G. Zlosnik

We study conformally-coupled massive scalar field theory with the mass term treated as a perturbation in the expanding half of de Sitter spacetime as a toy model for comparing various perturbative formalisms. We point out that the in-out…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Atsushi Higuchi , Yen Cheong Lee

We review the original argument of Lehmann et al (LSZ) that relates the flat space S-matrix to the correlation function of field operators and clarify some confusing issues. Next we discuss the origin of the $i\epsilon$ prescriptions…

高能物理 - 理论 · 物理学 2026-02-25 S. P. de Alwis

During inflation, primordial energy density fluctuations are created from approximate de Sitter vacuum quantum fluctuations redshifted out of the horizon after which they are frozen as perturbations in the background curvature. In this…

高能物理 - 唯象学 · 物理学 2016-09-06 D. J. H. Chung , A. Notari , A. Riotto

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

The celebrated Weinberg theorem in cosmological perturbation theory states that there always exist two adiabatic scalar modes in which the comoving curvature perturbation is conserved on super-horizon scales. In particular, when the…

高能物理 - 理论 · 物理学 2015-12-23 Mohammad Akhshik , Hassan Firouzjahi , Sadra Jazayeri

This is an update on the quasicentral modulus, an invariant for an n-tuple of Hilbert space operators and a rearrangement invariant norm, that plays a key-role in sharp multivariable generalizations of the classical Weyl-von Neumann-Kuroda…

泛函分析 · 数学 2025-04-01 Dan-Virgil Voiculescu

We investigate the relation between the time-ordered vacuum correlation functions for interacting real scalar fields in Minkowski spacetime and in the Rindler wedge. The correlation functions are constructed perturbatively within the in-in…

广义相对论与量子宇宙学 · 物理学 2020-03-18 Atsushi Higuchi , William C. C. Lima

Inflationary cosmology provides a successful paradigm for solving several problems, notably the generation of density perturbations which seed the formation of observed cosmic structure. We show how to use inverse scattering theory as the…

天体物理学 · 物理学 2009-11-10 Salman Habib , Katrin Heitmann , Gerard Jungman
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