arXiv 1708.005382017-08math-phgr-qchep-thmath.MP

Wavepackets on de Sitter spacetime

João C. A. Barata, Marcos Brum

备注：: 22 pages, as published in Symmetry, Integrability and Geometry: Methods and Applications
发表信息：: SIGMA 15 (2019), 060, 22 pages
DOI：: 10.3842/SIGMA.2019.060

英文摘要：

We construct wavepackets on de Sitter spacetime, with masses consistently defined from the eigenvalues of an irreducible representation of a Casimir element in the universal enveloping algebra of the Lorentz algebra and analyse their asymptotic behaviour. Furthermore, we show that, in the limit as the de Sitter radius tends to infinity, the wavepackets tend to the wavepackets of Minkowski spacetime and the plane waves arising after contraction have support sharply located on the mass shell.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors

By considering Hadamard vacuum states, we first construct the two-point functions associated with Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes. Then, from the general formalism developed in [A. Belokogne and A. Folacci, Phys. Rev. D \textbf{93}, 044063 (2016)], we obtain an exact analytical expression for the vacuum expectation value of the renormalized stress-energy tensor of the massive vector field propagating in these maximally symmetric spacetimes.

2016-11-23gr-qchep-thmath-ph

U(1)规范势在德西特时空上的应用

U(1) Gauge Potentials on de Sitter Spacetime

研究了U(1)规范势在德西特时空中的表现，证明了在该背景下电磁场无法无源。

2025-12-19gr-qchep-thmath-ph

IR finite graviton propagators in de Sitter spacetime

Graviton propagator diverges in certain gauges in de Sitter spacetime. We address this problem in this work by generalizing the infinitesimal BRST transformations in de Sitter spacetime to finite field-dependent BRST (FFBRST) transformations. These FFBRST transformations are symmetry of the classical action, but do not leave path integral measure invariant for the graviton theory in de Sitter spacetime. Due to the non-trivial Jacobian of such finite transformation the path integral measure changes and hence FFBRST transformation is capable of relating theories in two different gauges. We expli…

2016-04-01gr-qchep-thmath-ph

Strict deformations of quantum field theory in de Sitter spacetime

We propose a new deformed Rieffel product for functions in de Sitter spacetime, and study the resulting deformation of quantum field theory in de Sitter using warped convolutions. This deformation is obtained by embedding de Sitter in a higher-dimensional Minkowski spacetime, deforming there using the action of translations and subsequently projecting back to de Sitter. We determine the two-point function of a deformed free scalar quantum field, which differs from the undeformed one, in contrast to the results in deformed Minkowski spacetime where they coincide. Nevertheless, we show that in t…

2021-06-13hep-thmath-phmath.MP

Classification of Kerr-de Sitter-like spacetimes with conformally flat $\mathscr{I}$ in all dimensions

Using asymptotic characterization results of spacetimes at conformal infinity, we prove that Kerr-Schild-de Sitter spacetimes are in one-to-one correspondence with spacetimes in the Kerr-de Sitter-like class with conformally flat $\mathscr{I}$. Kerr-Schild-de Sitter are spacetimes of Kerr-Schild form with de Sitter background that solve the $(Λ>0)$-vacuum Einstein equations and admit a smooth conformal compactification sharing $\mathscr{I}$ with the background metric. Kerr-de Sitter-like metrics with conformally flat $\mathscr{I}$ are a generalization of the Kerr-de Sitter metrics, defined ori…

2021-09-17gr-qcmath-phmath.MP

Acceleration in de Sitter spacetimes

We propose a definition of uniform accelerated frames in de Sitter spacetimes applying the Nachtmann method of introducing coordinates using suitable point-dependent isometries. In order to recover the well-known Rindler approach in the flat limit, we require the transformation between the static frame and the accelerated one to depend continuously on acceleration, obtaining thus the natural generalization of the Rindler transformation to the de Sitter spacetimes of any dimensions.

2015-02-23gr-qcmath-phmath.MP

更多相关论文收起更多论文

Maximal Kerr de Sitter spacetimes

In this paper, we propose a survey of the basic geometric properties of Carters Kerr-de Sitter solution to Einsteins equation with positive cosmological constant. In particular, we give simple characterisations of the Kerr-de Sitter analogs of fast, slow and extreme Kerr spacetime and conclude with a discussion on maximal analytical extensions in each of these cases.

2022-06-16gr-qcmath-phmath.MP

Scattering theory for the Dirac equation on the Schwarzschild-Anti-de Sitter spacetime

We show asymptotic completeness for linear massive Dirac fields on the Schwarzschild-Anti-de Sitter spacetime. The proof is based on a Mourre estimate. We also construct an asymptotic velocity for this field.

2016-05-18gr-qcmath-phmath.AP

Relative motion and rest frames on de Sitter spacetimes

The Nachtmann boosting method is completed with gauge transformations in order to be applied to the study of the relative geodesic motion on the de Sitter spacetimes, finding how the conserved quantities transform under isometries and defining the rest frames of massive mobiles.

2017-02-13gr-qcmath-phmath.MP

渐近de Sitter时空的正质量定理

Positive mass theorems for asymptotically de Sitter spacetimes

我们使用平面坐标和双曲坐标将德西特时空分成两部分。这两种切割德西特的方法产生了两种不同的空间无限性。对于渐近于德西特时空的任意一半的时空，我们能够分别给出总能量、总线动量和总角动量的定义。对于中曲率由上述常数限定的类空超曲面，我们证明了与这两类空间无穷大相对应的两个正质量定理。

2009-09-16gr-qchep-phhep-th

A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes

In the setting of non-interacting Klein-Gordon fields on asymptotically anti-de Sitter spacetimes, we show that algebras of observables localized in a neighborhood of the boundary are subalgebras of a boundary algebra. The underlying mechanism is directly related to holography for classical fields. In particular, the proof relies on unique continuation theorems at the conformal boundary.

2018-12-16hep-thmath-phmath.MP

de Sitter时空中量子场论的形变

Deformations of quantum field theories on de Sitter spacetime

利用内对称群和单参数boost群的联合作用，对具有整体U（1）规范对称性的de Sitter时空中的量子场论进行形变.由此产生的理论原来是楔形本地和非同构的一类理论，包括自由带电狄拉克场的初始之一。详细研究了CAR-代数包含变形模型的性质。

2011-11-02hep-thmath-phmath.MP

Einstein-de Sitter时空中的完备常平均曲率类空超曲面

Complete constant mean curvature spacelike hypersurfaces in the Einstein-de Sitter spacetime

给出了Einstein-de Sitter时空中位于两类空切片之间的完备常平均曲率类空超曲面的唯一性和不存在性结果。它们是从Liouvielle型定理应用于一个著名的光滑函数的常平均曲率超曲面。

2014-01-03math-phmath.MP

Decay of the Local Energy for the Charged Klein-Gordon Equation in the Exterior De Sitter-Reissner-Nordström Spacetime

We show decay of the local energy of solutions of the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime by means of a resonance expansion of the local propagator.

2020-05-11math-phmath.MP

Quasimodes and a lower bound for the local energy decay of the Dirac equation in Schwarzschild-Anti-de Sitter spacetime

We prove the existence of exponentially accurate quasimodes using the square of the Dirac operator on the Schwarzschild-Anti-de Sitter spacetime and the Agmon estimates. We then deduce a logarithmic lower bound for the local energy decay of the Dirac propagator.

2016-10-18math-phmath.MP

Global in Time Existence of Self-Interacting Scalar Field in De Sitter Spacetimes

We prove the existence of a global in time solution of the semilinear Klein-Gordon equation in the de Sitter space-time.

2018-11-23math-phmath.APmath.MP

关于Einstein & de Sitter时空中波动方程的注记

A Note on Wave Equation in Einstein & de Sitter Spacetime

我们考虑在Einstein & de Sitter时空中传播的波。Einstein & de Sitter时空中的协变d'Alembert算子属于非Fuchsian偏微分算子族。引入了该方程的初值问题，并给出了解的显式表示公式。我们还展示了解的$L^p - L^q$估计。

2010-02-27math-phmath.APmath.MP

Scattering Theory for the Charged Klein-Gordon Equation in the Exterior De Sitter-Reissner-Nordström Spacetime

We show asymptotic completeness for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime when the product of the charge of the black hole with the charge of Klein-Gordon field is small enough. We then interpret scattering as asymptotic transports along principal null geodesics in a Kaluza-Klein extension of the original spacetime.

2019-11-28math-phmath.APmath.MP

de Sitter时空中Klein-Gordon方程的基本解

Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime

本文构造了de Sitter时空中Klein-Gordon方程的基本解。我们使用这些基本解来表示柯西问题的解，并证明了方程的解的$L^p-L^q$估计有和没有源项。

2008-03-20math-phmath.APmath.MP

Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-Anti-de Sitter spacetime

We study the resolvent of the massive Dirac operator in the Schwarzschild-Anti-de Sitter space-time. After separation of variables, we use standard one dimensional techniques to obtain an explicit formula. We then make use of this formula to extend the resolvent meromorphically accross the real axis.

2017-03-21math-phmath.APmath.MP