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In this article we propose a `second quantization' scheme especially suitable to deal with non-trivial, highly symmetric phase spaces, implemented within a more general Group Approach to Quantization, which recovers the standard Quantum…

高能物理 - 理论 · 物理学 2016-12-28 M. Calixto , V. Aldaya , M. Navarro

Extending scattering to states with unphysical mass values (particles ``off their mass shell'') has been instrumental in developing modern amplitude technology for Minkowski spacetime. Here, we study the off-shell correlators which underpin…

高能物理 - 理论 · 物理学 2024-04-10 Scott Melville , Guilherme L. Pimentel

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

The goal of the present note is to understand whether it is possible to define interacting quantum field theory in global anti de Sitter space-time with Lorentzian signature, in its covering space-time (whose time coordinate is not…

高能物理 - 理论 · 物理学 2021-02-17 E. T. Akhmedov , A. A. Artemev , I. V. Kochergin

In this paper, we propose an approach based on the theory of an axiomatic $S$ matrix and partially switching on an interaction, which is extremely suitable for describing the phenomenon of oscillations within the framework of quantum field…

高能物理 - 唯象学 · 物理学 2025-01-14 Maxim Libanov

We study the $2\rightarrow2$ $S$-matrix element of a generic, gapped and Lorentz invariant QFT in $d=1+1$ space time dimensions. We derive an analytical bound on the coupling of the asymptotic states to unstable particles (a.k.a.…

高能物理 - 理论 · 物理学 2018-09-26 N. Doroud , J. Elias Miró

For a large class of integrable quantum field theories we show that the S-matrix determines a space of fields which decomposes into subspaces labeled, besides the charge and spin indices, by an integer k. For scalar fields k is non-negative…

高能物理 - 理论 · 物理学 2008-11-26 Gesualdo Delfino

We propose a purely group-theoretical method for describing the S-matrix in quantum field theory with dynamical symmetry. In this approach, the Heisenberg S-matrix in a QFT with dynamical symmetry is an intertwining operator between unitary…

高能物理 - 理论 · 物理学 2025-07-04 G. A. Kerimov

The requirements are formulated which lead to the existence of the class of globally regular solutions to the minimally coupled GR equations which are asymptotically de Sitter at the center. The brief review of the resulting geometry is…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Irina Dymnikova

We study the two-dimensional version of a quartic self-interacting quantum scalar field on a curved and noncommutative space (Snyder-de Sitter). We show that the model is renormalizable at the one-loop level and compute the beta functions…

高能物理 - 理论 · 物理学 2022-07-20 S. A. Franchino-Viñas , S. Mignemi

The general boundary formulation of quantum field theory is applied to a massive scalar field in two dimensional Rindler space. The field is quantized according to both the Schr\"odinger-Feynman quantization prescription and the holomorphic…

高能物理 - 理论 · 物理学 2017-01-04 Daniele Colosi , Dennis Rätzel

We discuss the symmetry aspects of quantum field theory in global four-dimensional de Sitter spacetime linked to $SO(1,4)$ isometries. For the unitary irreducible representations relevant to elementary particles, we obtain explicit…

高能物理 - 理论 · 物理学 2026-04-13 Audrey Lindsay , Tomasz R. Taylor

It is possible to associate temperatures with the non-extremal horizons of a large class of spherically symmetric spacetimes using periodicity in the Euclidean sector and this procedure works for the de Sitter spacetime as well. But, unlike…

广义相对论与量子宇宙学 · 物理学 2013-05-08 Suprit Singh , Chandrima Ganguly , T. Padmanabhan

We consider a theory of $N$ self-interacting quantum scalar fields with quartic $O(N)$-symmetric potential, with a coupling constant $\lambda$, in a generic curved spacetime. We analyze the renormalization process of the Semiclassical…

高能物理 - 理论 · 物理学 2021-06-03 Diana L. López Nacir , Julián Rovner

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…

高能物理 - 理论 · 物理学 2009-11-07 Maulik K. Parikh , Ivo Savonije , Erik Verlinde

The behaviour of a massive, non-interacting and non-minimally coupled quantised scalar field in an expanding de Sitter background is investigated by solving the field evolution for an arbitrary initial state. In this approach there is no…

广义相对论与量子宇宙学 · 物理学 2017-03-08 Tommi Markkanen , Arttu Rajantie

The quantum fluctuations of a test scalar field on superhorizon scale in de Sitter spacetime can be described by an effective one-dimensional stochastic theory corresponding to a particular class of nonequilibrium dynamical systems known as…

高能物理 - 理论 · 物理学 2020-02-28 G. Moreau , J. Serreau

The S-matrix Bootstrap originated on the idea that the S-matrix might be fully constrained by global symmetries, crossing, unitarity, and analyticity without relying on an underlying dynamical theory that may or may not be a quantum field…

高能物理 - 理论 · 物理学 2022-05-06 Martin Kruczenski , Joao Penedones , Balt C. van Rees

The success of the S-matrix in quantum field theory in Minkowski spacetime naturally demands the extension of the construction of the S-matrix in a general curved spacetime in a covariant manner. However, it is well-known that a global…

高能物理 - 理论 · 物理学 2021-10-29 Susobhan Mandal , Subhashish Banerjee

I review and update ideas about the quantum theory of de Sitter space. New results include a quantum relation between energy and entropy of states in the causal patch, which is satisfied by small dS black holes. I also discuss the…

高能物理 - 理论 · 物理学 2007-05-23 T. Banks