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We consider a region of Minkowski spacetime bounded either by one or by two parallel, infinitely extended plates orthogonal to a spatial direction and a real Klein-Gordon field satisfying Dirichlet boundary conditions. We quantize these two…

Mathematical Physics · Physics 2015-10-01 Claudio Dappiaggi , Gabriele Nosari , Nicola Pinamonti

An observer at rest with the expanding universe experiences some extra noise in the quantum vacuum, and so does an accelerated observer in a vacuum at rest (in Minkowski space). The literature mainly focuses on the ideal cases of…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Ziv Landau , Ulf Leonhardt

As a spacetime with compact spatial sections, de Sitter spacetime does not have a de Sitter-invariant ground state for a minimally-coupled massless scalar field that gives definite expectation values for any observables not invariant under…

High Energy Physics - Theory · Physics 2015-06-04 Don N. Page , Xing Wu

The well-known self-similar solution for the two-point correlation function of the density field is valid only in an Einstein-de Sitter universe. We attempt to extend the solution for non-Einstein-de Sitter universes. For this purpose we…

Astrophysics · Physics 2009-11-07 Tatsushi Suginohara , Atsushi Taruya , Yasushi Suto

We present a general procedure to renormalize the stress tensor two-point correlation function on a Minkowski background in position space. The method is shown in detail for the case of a free massive scalar field in the standard Minkowski…

General Relativity and Quantum Cosmology · Physics 2013-08-14 Markus B. Fröb

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.…

High Energy Physics - Theory · Physics 2009-11-10 Kevin Goldstein , David A. Lowe

A new duality is proposed in four-dimensional flat space, which exchanges between spin and orbital degrees of freedom. This is motivated by a Hodge decomposition of the angular-momentum bivector for massive fields, along which spin and…

High Energy Physics - Theory · Physics 2023-10-06 Kostas Filippas

In recent papers [1,2], it has been shown that the presence of negative norm states or negative frequency solutions are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

Demanding $O(d,d)$-duality covariance, Hohm and Zwiebach have written down the action for the most general cosmology involving the metric, $b$-field and dilaton, to all orders in $\alpha'$ in the string frame. Remarkably, for an FRW…

High Energy Physics - Theory · Physics 2019-10-25 Chethan Krishnan

We study wavefunctions of heavy scalars on de Sitter spacetime and their implications to dS/CFT correspondence. In contrast to light fields in the complementary series, heavy fields in the principal series oscillate outside the cosmological…

High Energy Physics - Theory · Physics 2021-05-05 Hiroshi Isono , Hoiki Madison Liu , Toshifumi Noumi

We consider Horndeski cosmological models able to screen the vacuum energy coming from any field theory assuming that after this screening the space should be in a de Sitter vacuum with a particular value of the cosmological constant…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Prado Martin-Moruno , Nelson J. Nunes , Francisco S. N. Lobo

Field theory in de Sitter space admits a one-parameter family of vacua determined by a superselection parameter alpha. Of these vacua, the Euclidean vacuum uniquely extrapolates to the vacuum of flat Minkowski space. States which resemble…

High Energy Physics - Theory · Physics 2009-11-10 Jan de Boer , Vishnu Jejjala , Djordje Minic

We apply the S-matrix formalism developed in Part I to the interacting scalar theory in four-dimensional de Sitter spacetime. The amplitudes are computed in the angular momentum basis, appropriate to the representations of $SO(1,4)$ de…

High Energy Physics - Theory · Physics 2025-10-01 Tomasz R. Taylor , Bin Zhu

We obtain analytic results for the four-point amplitude, at one loop, of an interacting scalar field theory in four-dimensional, Euclidean anti-de Sitter space without exerting any conformal field theory knowledge. For the two-point…

High Energy Physics - Theory · Physics 2018-09-10 Igor Bertan , Ivo Sachs

Two-point functions for scalar and spinor fields are investigated in Einstein universe ($R \otimes S^{\sN-1}$). Equations for massive scalar and spinor two-point functions are solved and the explicit expressions for the two-point functions…

High Energy Physics - Theory · Physics 2007-05-23 T. Inagaki , K. Ishikawa , T. Muta

According to the `Cosmological Central Dogma', de Sitter space can be viewed as a quantum mechanical system with a finite number of degrees of freedom, set by the horizon area. We use this assumption together with the Wheeler-DeWitt (WDW)…

High Energy Physics - Theory · Physics 2025-12-01 Bjoern Hassfeld , Arthur Hebecker , Manfred Salmhofer , Jonah Cedric Strauss , Johannes Walcher

The dS/dS correspondence provides a holographic description of quantum gravity in d dimensional de Sitter space near the horizon of a causal region in a well defined approximation scheme; it is equivalent to the low energy limit of…

High Energy Physics - Theory · Physics 2009-11-11 Mohsen Alishahiha , Andreas Karch , Eva Silverstein

We present an expression for the Weyl-Weyl two-point function in de Sitter spacetime, based on a recently calculated covariant graviton two-point function with one gauge parameter. We find that the Weyl-Weyl two-point function falls off…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Spyros S. Kouris

We study two-point correlation functions of a massive free scalar field in de Sitter space using the heat kernel formalism. Focusing on two operators in conjugate static patches we derive a geodesic approximation to the two-point correlator…

High Energy Physics - Theory · Physics 2023-08-17 Lars Aalsma , Mir Mehedi Faruk , Jan Pieter van der Schaar , Manus Visser , Job de Witte

Glauber-Sudarshan states, sometimes simply referred to as Glauber states, or alternatively as coherent and squeezed-coherent states, are interesting states in the configuration spaces of any quantum field theories, that closely resemble…

High Energy Physics - Theory · Physics 2021-03-17 Suddhasattwa Brahma , Keshav Dasgupta , Radu Tatar
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