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We quantize a massive scalar field in de Sitter spacetime and derive the S-matrix for the general interacting theory. Using the general boundary formulation of quantum field theory, we also propose a new type of S-matrix derived from the…

High Energy Physics - Theory · Physics 2010-10-07 Daniele Colosi

We construct a new type of S-matrix in quantum field theory using the general boundary formulation. In contrast to the usual S-matrix the space of free asymptotic states is located at spatial rather than at temporal infinity. Hence, the new…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Colosi , Robert Oeckl

We construct a perturbative S-matrix for interacting massive scalar fields in global de Sitter space. Our S-matrix is formulated in terms of asymptotic particle states in the far past and future, taking appropriate care for light fields…

High Energy Physics - Theory · Physics 2013-07-11 Donald Marolf , Ian A. Morrison , Mark Srednicki

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:…

High Energy Physics - Theory · Physics 2023-09-14 Scott Melville , Guilherme L. Pimentel

We provide a new method to construct the S-matrix in quantum field theory. This method implements crossing symmetry manifestly by erasing the a priori distinction between in- and out-states. It allows the description of processes where the…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Colosi , Robert Oeckl

Within the de Sitter ambient space framework, the two different bases of the one-particle Hilbert space of the de Sitter group algebra are presented for the scalar case. Using field operator algebra and its Fock space construction in this…

High Energy Physics - Theory · Physics 2023-08-29 M. V. Takook , J. P. Gazeau , E. Huguet

de Sitter symmetry on quantum level implies that operators describing a given system satisfy commutation relations of the de Sitter algebra. This approach gives a new perspective on fundamental notions of quantum theory. We discuss…

High Energy Physics - Theory · Physics 2012-04-04 Felix M. Lev

The General Boundary Formulation (GBF) is a new framework for studying quantum theories. After concise overviews of the GBF and Schr\"odinger-Feynman quantization we apply the GBF to resolve a well known problem on Anti-deSitter spacetime…

High Energy Physics - Theory · Physics 2012-08-10 Daniele Colosi , Max Dohse , Robert Oeckl

We use the General Boundary Formulation (GBF) of Quantum Field Theory to compute the S-matrix for a general interacting scalar field in a wide class of curved spacetimes. As a by-product we obtain the general expression of the Feynman…

High Energy Physics - Theory · Physics 2016-12-30 Daniele Colosi , Max Dohse

We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special…

High Energy Physics - Theory · Physics 2018-01-03 E. T. Akhmedov

The conformal field equations are used to discuss the local existence of spherically symmetric solutions to the Einstein-Yang-Mills system which behave asymptotically like the anti-de Sitter spacetime. By using a gauge based on conformally…

General Relativity and Quantum Cosmology · Physics 2015-06-19 C. Lübbe , J. A. Valiente Kroon

The analytic structure of the flat-space S-matrix provides non-perturbative constraints on low-energy effective field theories based on the properties of high-energy theory. While the analytic structure of the flat-space S-matrix is well…

High Energy Physics - Theory · Physics 2026-01-06 Jason Kristiano , Ryo Namba , Atsushi Naruko , Ryo Saito , Daisuke Yamauchi

It seems likely that string theory has a landscape of vacua that includes very many metastable de Sitter spaces. However, as emphasized by Banks, Dine and Gorbatov, no current framework exists for examining these metastable vacua in string…

High Energy Physics - Theory · Physics 2008-11-26 Ben Freivogel , Leonard Susskind

Spatially homogeneous cosmological spacetimes, evolving in the presence of a positive cosmological constant and matter satisfying some reasonable energy conditions, typically approach the de Sitter geometry asymptotically (at least…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Aditya Sharma , Kinjal Banerjee , Jishnu Bhattacharyya

In this paper we will analyse quantum field theory on de Sitter spacetime. We will analyse a general scalar and vector field theory on de Sitter spacetime. This is done by first calculating these propagators on four-Sphere and then…

We mainly study real Klein-Gordon theory on Anti de Sitter spacetimes, and apply the General Boundary Formulation (GBF) of Quantum Theory in order to compute a radial S-matrix. We consider first the classical theory, giving a complete list…

Mathematical Physics · Physics 2016-06-10 Max Dohse

Non-perturbative limitations on low-energy effective field theories (EFTs) based on the characteristics of high-energy theory are provided by the analyticity of the flat-space version of the S-matrix. Although the analyticity of the…

High Energy Physics - Theory · Physics 2026-01-30 Sayantan Choudhury

A system of generalized coherent states for the de Sitter group obeying Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is considered. This allows us to construct the quantized scalar…

High Energy Physics - Theory · Physics 2007-05-23 Semyon Pol'shin

We show how to construct a set of Euclidean conformal correlation functions on the boundary of a de Sitter space from an interacting bulk quantum field theory with a certain asymptotic behaviour. We discuss the status of the boundary theory…

High Energy Physics - Theory · Physics 2009-11-07 J. Bros , H. Epstein , U. Moschella

We study conditions for the existence of asymptotic observables in cosmology. With the exception of de Sitter space, the thermal properties of accelerating universes permit arbitrarily long observations, and guarantee the production of…

High Energy Physics - Theory · Physics 2009-11-10 Raphael Bousso
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