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We consider a massless and minimally coupled self interacting quantum scalar field theory in the inflationary de Sitter background of dimension four. The self interaction potential is taken to be either quartic, $\lambda \phi^4/4!$, or…

High Energy Physics - Theory · Physics 2024-08-13 Sourav Bhattacharya , Sudesh Kumar

We set up a consistent renormalizable perturbation theory of a scalar field in a nontrivial alpha vacuum in de Sitter space. Although one representation of the effective action involves non-local interactions between anti-podal points, we…

High Energy Physics - Theory · Physics 2010-04-05 Kevin Goldstein , David A. Lowe

We propose a procedure for computing the boundary stress tensor associated with a gravitating system in asymptotically anti-de Sitter space. Our definition is free of ambiguities encountered by previous attempts, and correctly reproduces…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus

We study the Stueckelberg field in de Sitter space, which is a massive vector field with the gauge fixing (GF) term $\frac{1}{2\zeta} (A^\mu\,_{;\, \mu})^2$. We obtain the vacuum stress tensor, which consists of the transverse,…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Yang Zhang , Xuan Ye

We provide further evidence to support the fact that a four-dimensional effective field theory description with de Sitter isometries in IIB string theory, overcoming the no-go and the swampland criteria, can only exist if de Sitter space is…

High Energy Physics - Theory · Physics 2021-11-23 Heliudson Bernardo , Suddhasattwa Brahma , Keshav Dasgupta , Mir-Mehedi Faruk , Radu Tatar

Soft-operators, loosely speaking, are operators which create or annihilate zero energy massless particles on the celestial sphere in Minkowski space. The Lorentz group acts on the celestial sphere by conformal transformation and the…

High Energy Physics - Theory · Physics 2020-05-20 Shamik Banerjee , Pranjal Pandey , Partha Paul

A class of invariant states under de Sitter isometries is constructed in d-dimensional Conformal Field Theories from the universal sector of AdS/CFT dualities. These states extend the Mottola-Allen $\alpha$-vacua to theories containing…

High Energy Physics - Theory · Physics 2018-12-27 Kévin Nguyen

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

It is well known that there should be a total cancellation of the IR divergences in unitary interacting field theories, such as QED and gravity. The cancellation should be at all orders between loop and tree level contributions to…

High Energy Physics - Theory · Physics 2008-11-26 Emil T. Akhmedov , P. V. Buividovich

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

In this article, we clarify the link between the conformal (i.e. Weyl) correspondence from the Minkowski space to the de Sitter space and the conformal (i.e. SO(2,$d$)) invariance of the conformal scalar field on both spaces. We exhibit the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Huguet , J. Queva , J. Renaud

We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II$_1$. There is a natural notion of entropy…

High Energy Physics - Theory · Physics 2023-07-04 Venkatesa Chandrasekaran , Roberto Longo , Geoff Penington , Edward Witten

We study the dynamical behavior of the dilaton in the background of three-dimensional Kerr-de Sitter space which is inspired from the low-energy string effective action. The perturbation analysis around the cosmological horizon of Kerr-de…

High Energy Physics - Theory · Physics 2009-11-07 H. W. Lee , Y. S. Myung

We review the construction of ("free") elementary systems in de Sitter (dS) spacetime, in the Wigner sense, as associated with unitary irreducible representations (UIR's) of the dS (relativity) group. This study emphasizes the conceptual…

Mathematical Physics · Physics 2024-05-01 Mohammad Enayati , Jean-Pierre Gazeau , Hamed Pejhan , Anzhong Wang

The Casimir stress on two parallel plates in de Sitter background for massless scalar field satisfying Robin boundary conditions on the plates is calculated. The metric is written in conformally flat form to make maximum use of the…

High Energy Physics - Theory · Physics 2009-11-07 M. R. Setare , R. Mansouri

We revisit the principal arguments for interpreting the free quantum fields on anti-de Sitter or de Sitter spacetimes of any dimensions as oscillators or respectively anti-oscillators. In addition, we point out that there exists a chart on…

General Relativity and Quantum Cosmology · Physics 2014-10-07 Ion I. Cotaescu

In 2507.17558, we provide a map from a scalar theory on $(D+2)$-dimensional Minkowski spacetime to a scalar theory with a continuous mass spectrum on $(D+1)$-dimensional de Sitter spacetime, and propose a link between celestial amplitudes…

High Energy Physics - Theory · Physics 2026-01-26 Hideo Furugori , Naoki Ogawa , Sotaro Sugishita , Takahiro Waki

We investigate aspects of spontaneous breakdown of symmetry for $O(N)$ symmetric linear sigma model in the background of Rindler and Anti-de Sitter spacetimes respectively. In the large $N$ limit, by computing the one-loop effective action,…

High Energy Physics - Theory · Physics 2023-05-10 Pallab Basu , Haridev S R , Prasant Samantray

We propose that for every event in de Sitter space, there is a CPT-conjugate event at its antipode. Such an ``elliptic'' $Z_2$-identification of de Sitter space provides a concrete realization of observer complementarity: every observer has…

High Energy Physics - Theory · Physics 2009-11-07 Maulik K. Parikh , Ivo Savonije , Erik Verlinde

We give a group-theoretic interpretation of relativistic holography as equivalence between representations of the anti de Sitter algebra describing bulk fields and boundary fields. Our main result is the explicit construction of the…

High Energy Physics - Theory · Physics 2016-07-22 N. Aizawa , V. K. Dobrev
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