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We present a method for constructing gauge-invariant cosmological perturbations which are gauge-invariant up to second order. As an example we give the gauge-invariant definition of the second-order curvature perturbation on uniform density…

天体物理学 · 物理学 2009-11-10 Karim A Malik , David Wands

We construct a natural and nonperturbative momentum space for quantum field theory on $(d+1)$-dimensional de Sitter (dS) spacetime in the Poincar\'e slicing, adapted to early Universe cosmology. In particular, we identify the dS frequency…

高能物理 - 理论 · 物理学 2026-04-20 Nathan Belrhali , Arthur Poisson , Sébastien Renaux-Petel , Denis Werth

The connection between the Gupta-Bleuler formulation and the Coulomb gauge formulation of QED is discussed. It is argued that the two formulations are not connected by a gauge transformation. Nor can the state space of the Coulomb gauge be…

高能物理 - 理论 · 物理学 2008-11-26 Othmar Steinmann

This work provides a relativistic, digital quantum simulation scheme for both $2+1$ and $3+1$ dimensional quantum electrodynamics (QED), based on a discrete spacetime formulation of theory. It takes the form of a quantum circuit, infinitely…

量子物理 · 物理学 2024-10-30 Nathanaël Eon , Giuseppe Di Molfetta , Giuseppe Magnifico , Pablo Arrighi

De Sitter space-time, essentially our own universe, is plagued by problems at the quantum level. Here we propose that Lorentzian de Sitter space-time is not fundamental but constitutes only an effective description of a more fundamental…

高能物理 - 理论 · 物理学 2023-04-12 Carlo A. Trugenberger

We study the generation of gravitational radiation by sources moving in the de Sitter background. Exploiting the maximal symmetry and the conformal flatness of de Sitter space-time we prove that the derivation of this gravitational…

天体物理学 · 物理学 2009-10-31 H. J. de Vega , J. Ramirez , N. Sanchez

We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special…

高能物理 - 理论 · 物理学 2018-01-03 E. T. Akhmedov

Scalar-tensor theory of gravity with non-minimal coupling is a fairly good candidate for dark energy, required to explain late-time cosmic evolution. Here we study the very early stage of evolution of the universe with a modified version of…

高能物理 - 理论 · 物理学 2018-05-22 Ranajit Mandal , Chandramouli Sarkar , Abhik Kumar Sanyal

Nonlinear perturbations of Friedmann-Lemaitre cosmologies with dust and a positive cosmological constant have recently attracted considerable attention. In this paper our first goal is to compare the evolution of the first and second order…

广义相对论与量子宇宙学 · 物理学 2013-08-28 Claes Uggla , John Wainwright

We discuss a new scenario for early cosmology, when inflationary de Sitter phase dynamically emergent. This genuine quantum effect occurs as a result of dynamics of the topologically nontrivial sectors in a (conjectured) strongly coupled…

高能物理 - 唯象学 · 物理学 2014-08-13 Ariel R. Zhitnitsky

Static coordinates can be convenient to solve the vacuum Einstein's equations in presence of spherical symmetry, but for cosmological applications comoving coordinates are more suitable to describe an expanding Universe, especially in the…

广义相对论与量子宇宙学 · 物理学 2021-06-01 Camilo Santa Velez , Antonio Enea Romano

The physics of de Sitter space is essential to our understanding of our cosmological past, present, and future. It forms the foundation for the statistical predictions of inflation in terms of quantum vacuum fluctuations that are being…

高能物理 - 理论 · 物理学 2022-10-13 Daniel Green

For a quantum field in a curved background the choice of the vacuum state is crucial. We exhibit a vacuum state in which the expectation values of the energy and pressure allow an intuitive interpretation. We apply this general result to…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Carmen Molina-Paris

There has been strong interest in the possibility that in the quantum-gravity realm momentum space might be curved, mainly focusing, especially for what concerns phenomenological implications, on the case of a de Sitter momentum space. We…

广义相对论与量子宇宙学 · 物理学 2024-03-26 Giovanni Amelino-Camelia , Iarley P. Lobo , Giovanni Palmisano

We derive the leading quantum corrections to the gravitational potentials in a de Sitter background, due to the vacuum polarization from loops of conformal fields. Our results are valid for arbitrary conformal theories, even strongly…

高能物理 - 理论 · 物理学 2017-01-25 Markus B. Fröb , Enric Verdaguer

In the in-/out-state formalism we find the exact one-loop effective action of a massive scalar field in the global coordinates of de Sitter spaces, which is a gravity analog of the Heisenberg-Euler action in QED. The nonperturbative…

高能物理 - 理论 · 物理学 2010-08-04 Sang Pyo Kim

We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD in $d=2$ spatial dimensions. Although the underlying Clifford algebra is very different from its counterpart in $d=3$, the gap…

高能物理 - 唯象学 · 物理学 2021-02-03 Felix Spengler , Davide Campagnari , Hugo Reinhardt

We construct cubic gravity and its $f(P)$ extension and we investigate their early- and late-time cosmological applications. Cubic gravity is based on a particular invariant $P$, constructed from cubic contractions of the Riemann tensor,…

广义相对论与量子宇宙学 · 物理学 2019-07-08 Cristian Erices , Eleftherios Papantonopoulos , Emmanuel N. Saridakis

The evolution of gauge invariant second-order scalar perturbations in a general single field inflationary scenario are presented. Different second order gauge invariant expressions for the curvature are considered. We evaluate…

广义相对论与量子宇宙学 · 物理学 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

We discuss several aspects of quantum field theory of a scalar field in a Friedmann universe, clarifying and highlighting several conceptual and technical issues. (A) We show that one can map the dynamics of (1) a massless scalar field in a…

广义相对论与量子宇宙学 · 物理学 2019-01-17 Kinjalk Lochan , Karthik Rajeev , Amit Vikram , T. Padmanabhan