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Related papers: Complex geodesics in de Sitter space

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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

The two-point function of the stress tensor operator of a quantum field in de Sitter spacetime is calculated for an arbitrary number of dimensions. We assume the field to be in the Bunch-Davies vacuum, and formulate our calculation in terms…

General Relativity and Quantum Cosmology · Physics 2010-06-15 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

We examine long-wavelength correlation functions of massive scalar fields in de Sitter spacetime. For the theory with a quartic self-interaction, the two-point function is calculated up to two loops. Comparing our results with the…

General Relativity and Quantum Cosmology · Physics 2022-04-25 Alexander Yu. Kamenshchik , Alexei A. Starobinsky , Tereza Vardanyan

We explore two-point and four-point correlation functions of a massive scalar field on the flat de Sitter background in the long-wavelength approximation. By employing the Yang-Feldman-type equation, we compute the two-point correlation…

High Energy Physics - Theory · Physics 2025-04-18 Alexander Kamenshchik , Polina Petriakova

We introduce a "radial" two-point invariant for quantum field theory in de Sitter (dS) analogous to the radial coordinate used in conformal field theory. We show that the two-point function of a free massive scalar in the Bunch-Davies…

High Energy Physics - Theory · Physics 2023-11-08 Manuel Loparco , Jiaxin Qiao , Zimo Sun

We explore aspects of the physics of de Sitter (dS) space that are relevant to holography with a positive cosmological constant. First we display a nonlocal map that commutes with the de Sitter isometries, transforms the bulk-boundary…

High Energy Physics - Theory · Physics 2009-03-16 Vijay Balasubramanian , Jan de Boer , Djordje Minic

The two-point function for tensor metric perturbations around de Sitter spacetime including one-loop corrections from massless conformally coupled scalar fields is calculated exactly. We work in the Poincar\'e patch (with spatially flat…

General Relativity and Quantum Cosmology · Physics 2012-09-06 Markus B. Fröb , Albert Roura , Enric Verdaguer

Behaviour of a weekly self-interacting scalar field with a small mass in the de Sitter background is investigated using the stochastic approach (including the case of a double-well interaction potential). Existence of the de Sitter…

Astrophysics · Physics 2010-04-06 Alexei A. Starobinsky , Jun'ichi Yokoyama

We consider the holographic complexity conjectures for de-Sitter invariant states in a quantum field theory on de Sitter space, dual to asymptotically anti-de Sitter geometries with de Sitter boundaries. The bulk holographic duals include…

High Energy Physics - Theory · Physics 2017-09-06 Alan Reynolds , Simon F. Ross

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic…

High Energy Physics - Theory · Physics 2016-12-15 D. S. Ageev , I. Ya. Aref'eva , M. D. Tikhanovskaya

Two-dimensional Schwarzschild-de Sitter is a convenient spacetime in which to study the effects of horizons on quantum fields since the spacetime contains two horizons, and the wave equation for a massless minimally coupled scalar field can…

High Energy Physics - Theory · Physics 2022-06-02 Paul R. Anderson , Jennie Traschen

In the de Sitter ambient space formalism the massless fields, which include the linear gravity and massless minimally coupled scalar field, can be written in terms of two separate parts: a massless conformally coupled scalar field and a…

General Relativity and Quantum Cosmology · Physics 2017-12-29 M. V. Takook

We examine the behavior of correlation functions for a massless scalar field in de Sitter space with a quartic interaction. We find that two-loop corrections are relevant, and that the resummation of these corrections generates a…

High Energy Physics - Theory · Physics 2015-09-30 Arvind Rajaraman

We calculate two-point functions of scalar fields of mass $m$ and their conjugate momenta at the late-time boundary of de Sitter with Bunch-Davies boundary conditions, in general $d+1$ spacetime dimensions. We perform the calculation using…

High Energy Physics - Theory · Physics 2023-10-31 Gizem Sengor , Constantinos Skordis

We investigate quantum entanglement between two symmetric spatialregions in de Sitter space with the Bunch-Davies vacuum. As a discretized model of the scalar field for numerical simulation, we consider a harmonic chain model. Using the…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Akira Matsumura , Yasusada Nambu

We derive the response function for a comoving, pointlike Unruh-DeWitt particle detector coupled to a complex scalar field $\phi$, in the $(3+1)$-dimensional cosmological de Sitter spacetime. The field-detector coupling is taken to be…

High Energy Physics - Theory · Physics 2021-02-19 Md. Sabir Ali , Sourav Bhattacharya , Kinjalk Lochan

We consider the stochastic quantization method for scalar fields defined in a curved manifold. The two-point function associated to a massive self-interacting scalar field is evaluated, up to the first order level in the coupling constant…

High Energy Physics - Theory · Physics 2009-03-20 T. C. de Aguiar , G. Menezes , N. F. Svaiter

We present a theory of general two-point functions and of generalized free fields in d-dimensional de Sitter space-time which closely parallels the corresponding minkowskian theory. The usual spectral condition is now replaced by a certain…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Bros , U. Moschella

The Wightman two-point function for the gravitational field in the linear approximation (the rank-2 ``massless'' tensor field) on de Sitter space has a pathological behaviour for large separated points (infrared divergence). This behaviour…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. V. Takook

The Gupta-Bleuler triplet for vector-spinor gauge field is presented in de Sitter ambient space formalism. The invariant space of field equation solutions is obtained with respect to an indecomposable representation of the de Sitter group.…

General Relativity and Quantum Cosmology · Physics 2016-07-22 S. Parsamehr , M. Enayati , M. V. Takook
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