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We show that the anti-de Sitter(AdS) space naturally emerges from the conformal field theory(CFT). The behavior of the leading divergent term in the entanglement entropy implies the underlying AdS geometry. The coefficient of the leading…

高能物理 - 理论 · 物理学 2017-09-22 Seungjoon Hyun , Sang-A Park

Arbitrary spin free massless bosonic fields propagating in even $d$ - dimensional anti-de Sitter spacetime are investigated. Free wave equations of motion, subsidiary conditions and the corresponding gauge transformations for such fields…

高能物理 - 理论 · 物理学 2012-06-19 R. R. Metsaev

We review the role of the spectral condition as a characteristic feature unifying Minkowski, de Sitter and anti de Sitter Quantum Field Theory. In this context, we highlight the role of an important class of plane waves which are either de…

高能物理 - 理论 · 物理学 2024-03-26 Ugo Moschella

We present new infinitesimal `conformal-like' symmetries for the field equations of strictly massless spin-$s \geq 3/2$ totally symmetric tensor-spinors (i.e. gauge potentials) on 4-dimensional de Sitter spacetime ($dS_{4}$). The…

高能物理 - 理论 · 物理学 2024-11-21 Vasileios A. Letsios

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…

广义相对论与量子宇宙学 · 物理学 2017-12-29 M. V. Takook

We examine anti-de Sitter gravity minimally coupled to a self-interacting scalar field in $D\geq 4$ dimensions when the mass of the scalar field is in the range $m_{\ast}^{2}\leq m^{2}<m_{\ast} ^{2}+l^{-2}$. Here, $l$ is the AdS radius, and…

高能物理 - 理论 · 物理学 2008-11-26 Marc Henneaux , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We consider the conformally invariant cubic wave equation on the Einstein cylinder $\mathbb{R} \times \mathbb{S}^3$ for small rotationally symmetric initial data. This simple equation captures many key challenges of nonlinear wave dynamics…

偏微分方程分析 · 数学 2017-05-22 Piotr Bizoń , Ben Craps , Oleg Evnin , Dominika Hunik , Vincent Luyten , Maciej Maliborski

We examine the question of scale versus conformal invariance on maximally symmetric curved backgrounds and study general 2-derivative conformally invariant free theories of vectors and tensors. For spacetime dimension $D>4$, these conformal…

高能物理 - 理论 · 物理学 2024-08-15 Kara Farnsworth , Kurt Hinterbichler , Ondrej Hulik

We define an $S$-matrix for massive scalar fields on a fixed de Sitter spacetime, in the expanding patch co-ordinates relevant for early Universe cosmology. It enjoys many of the same properties as its Minkowski counterpart, for instance:…

高能物理 - 理论 · 物理学 2023-09-14 Scott Melville , Guilherme L. Pimentel

The Anti-de Sitter Space/Conformal Field Theory (AdS/CFT) correspondence may offer new and useful insights into the non-perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics (QCD). We present an…

高能物理 - 唯象学 · 物理学 2014-11-05 Sean P. Bartz , Joseph I. Kapusta

We present a detailed discussion of the asymptotic symmetries of Anti-de Sitter space in two dimensions and their relationship with the conformal group in one dimension. We use this relationship to give a microscopical derivation of the…

高能物理 - 理论 · 物理学 2009-10-31 Mariano Cadoni , Salvatore Mignemi

A conformally invariant model of two interacting massless particles in Minkowski space was proposed by Casalbuoni and Gomis [1]. We generalize this model to the case of de Sitter space from the perspective of geodesic distance, in such a…

高能物理 - 理论 · 物理学 2021-07-20 Naohiro Kanda , Satoshi Okano

We study ${\cal N}=1$ supergravity with $N>1$ chiral superfields in which one of the fields has a K\"ahler potential of exact no-scale type. Such systems admit de Sitter (dS) solutions in which supersymmetry is predominantly broken by the…

高能物理 - 理论 · 物理学 2015-06-02 M. C. David Marsh , Bert Vercnocke , Timm Wrase

The approximate late conformal time wavefunction for self-interacting scalar quantum fields in de Sitter space is computed. It dominates for conformal times much larger than a certain critical value, $\eta=\eta_{\text{crit}}$ which depends…

高能物理 - 理论 · 物理学 2013-10-14 Enrique Alvarez

Some general remarks are made about the quantum theory of scalar fields and the definition of momentum in curved space. Special emphasis is given to field theory in anti-de Sitter space, as it represents a maximally symmetric space-time of…

高能物理 - 理论 · 物理学 2008-02-03 Simon Davis

We reformulate free equations of motion for massive spin 0 and spin 1/2 matter fields in 2+1 dimensional anti-de Sitter space in the form of some covariant constantness conditions. The infinite-dimensional representation of the anti-de…

高能物理 - 理论 · 物理学 2009-10-30 A. V. Barabanschikov , S. F. Prokushkin , M. A. Vasiliev

We consider the non-interacting massive Wess-Zumino model in four-dimensional anti-de Sitter space and show that the conformal dimensions of the corresponding boundary fields satisfy the relations expected from superconformal invariance. In…

高能物理 - 理论 · 物理学 2008-11-26 W. Mueck , K. S. Viswanathan

The Casimir forces on two parallel plates moving by uniform proper acceleration in static de Sitter background due to conformally coupled massless scalar field satisfying Dirichlet boundary conditions on the plates is investigated. Static…

高能物理 - 理论 · 物理学 2009-11-10 M R Setare

We study oscillons in a real scalar field theory in a (3+1)-dimensional AdS space with global coordinates. The initial configuration is given by a Gaussian shape with an appropriate core size as in Minkowski spacetime. The solution exhibits…

高能物理 - 理论 · 物理学 2025-05-20 Takaaki Ishii , Takaki Matsumoto , Kanta Nakano , Ryosuke Suda , Kentaroh Yoshida

The massless minimally coupled scalar field in de Sitter ambient space formalism might play a similar role to what the Higgs scalar field accomplishes within the electroweak standard model. With the introduction of a "local transformation"…

广义相对论与量子宇宙学 · 物理学 2017-10-31 Jean Pierre Gazeau , Mohammad Vahid Takook