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We consider one loop graviton corrections to scalar field Green's functions in the de Sitter phase of an inflationary space-time, a topic relevant to the computation of cosmological observables beyond linear order. By embedding de-Sitter…

High Energy Physics - Theory · Physics 2011-05-10 Wei Xue , Keshav Dasgupta , Robert Brandenberger

Recent astrophysical data indicate that our universe might currently be in a de Sitter (dS) phase. The importance of dS space has been primarily ignited by the study of the inflationary model of the universe and the quantum gravity. As we…

General Physics · Physics 2013-01-15 Mohsen Fathi

The analyticity property of de Sitter's quantum Yang-Mills theory in the framework of Kerin space quantization, including quantum metric fluctuation, is demonstrated. This property completes our previous work regarding quantum Yang-Mills…

General Relativity and Quantum Cosmology · Physics 2023-01-20 M. V. Takook

Using the Functional Renormalization Group approach we construct effective quantum spacetime geometries by self-consistently deforming the classical Schwarzschild-de Sitter black-hole solution. This involves studying how quantum…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Alfio Bonanno , Mariano Cadoni , Mirko Pitzalis , Andrea Pierfrancesco Sanna

In this article we propose a `second quantization' scheme especially suitable to deal with non-trivial, highly symmetric phase spaces, implemented within a more general Group Approach to Quantization, which recovers the standard Quantum…

High Energy Physics - Theory · Physics 2016-12-28 M. Calixto , V. Aldaya , M. Navarro

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…

High Energy Physics - Theory · Physics 2023-04-12 Carlo A. Trugenberger

We compute the tree-level late-time graviton four-point correlation function, and the related quartic wavefunction coefficient, for Einstein gravity in de Sitter spacetime. We derive this result in several ways: by direct calculation, using…

High Energy Physics - Theory · Physics 2023-07-26 James Bonifacio , Harry Goodhew , Austin Joyce , Enrico Pajer , David Stefanyszyn

A new gauge-invariant criterion for stability against inhomogeneous perturbations of de Sitter space is applied to scenarios of dark energy and inflation in scalar-tensor gravity. The results extend previous studies.

General Relativity and Quantum Cosmology · Physics 2014-11-17 Valerio Faraoni , Michael N. Jensen

Assuming the von Neumann algebra associated with a generic de Sitter observer is properly infinite (type III) we use Connes cocycle to identify the unique ( up to unitary equivalence) background independent dominant weight on an extended…

High Energy Physics - Theory · Physics 2023-11-06 Cesar Gomez

We study the quantum coherence in de Sitter space for the bipartite system of Alice and Bob who initially share an entangled state between the two modes of a free massive scalar field. It is shown that the space-curvature effect can produce…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Shu-Min Wu , Chun-Xu Wang , Dan-Dan Liu , Xiao-Li Huang , Hao-Sheng Zeng

Linearized fluctuations of quantized matter fields and the spacetime geometry around de Sitter space are considered in the case that the matter fields are conformally invariant. Taking the unperturbed state of the matter to be the de Sitter…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Paul R. Anderson , Carmen Molina-Paris , Emil Mottola

Krein space quantization and the ambient space formalism have been successfully applied to address challenges in quantum geometry (e.g., quantum gravity) and the axiomatic formulation of quantum Yang-Mills theory, including phenomena such…

General Relativity and Quantum Cosmology · Physics 2025-05-27 M. V. Takook

Two important problems in studying the quantum black hole, namely the construction of the Hilbert space and the definition of the time evolution operator on such Hilbert space, are discussed using the de Sitter background field method for…

General Relativity and Quantum Cosmology · Physics 2017-11-06 M. V. Takook

To resolve infrared problems with the de~Sitter invariant vacuum, we argue that the history of the de~Sitter phase is crucial. We illustrate how either (1)~the diagonalization of the Hamiltonian for long-wavelength modes or (2)~an explicit…

General Relativity and Quantum Cosmology · Physics 2008-02-03 A. D. Dolgov , M. B. Einhorn , V. I. Zakharov

In this article, we study the quantum dynamics of a Klein-Gordon field on de-Sitter space. We prove time evolution is not unitarily implementable. We also consider a Klein-Gordon field perturbed by a local potential V. In this case we prove…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Gary Poon

In this paper we study the effects of spatial curvature of the metric on the phase space of vacuum $f(R)$ gravity. Particularly, we appropriately choose the variables of the dynamical system, in order for this to be autonomous, and we study…

General Relativity and Quantum Cosmology · Physics 2019-05-22 S. D Odintsov , V. K. Oikonomou

Quantum gravity of a brane-like Universe is formulated, and its Einstein limit is approached. Regge-Teitelboim embedding of Arnowitt-Deser-Misner formalism is carried out. Invoking a novel Lagrange multiplier, accompanying the lapse…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Aharon Davidson , David Karasik

The Gao-Wald theorem says that de Sitter spacetime reacts to a positive energy perturbation by getting "taller." How does this change in the presence of timelike boundaries? We study this question in two-dimensional de Sitter JT gravity…

High Energy Physics - Theory · Physics 2024-07-17 Gauri Batra

We consider a massless quantum scalar field on a two-dimensional space-time describing a thin shell of matter collapsing to form a Schwarzschild-anti-de Sitter black hole. At early times, before the shell starts to collapse, the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Paul G. Abel , Elizabeth Winstanley

We compute exact expressions of the noise kernel, defined as the expectation value of the symmetrized connected stress energy bitensor, for conformally-invariant scalar fields with respect to the conformal vacuum, valid for an arbitrary…

General Relativity and Quantum Cosmology · Physics 2013-01-14 Jason D. Bates , Hing-Tong Cho , Paul R. Anderson , B. L. Hu
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