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Related papers: Quantized $p$-form Gauge Field in D-dimensional de…

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Massive arbitrary spin totally symmetric free fermionic fields propagating in d-dimensional (Anti)-de Sitter space-time are investigated. Gauge invariant action and the corresponding gauge transformations for such fields are proposed. The…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev

We study the radiation emitted by inertial charge evolving on the expanding de Sitter spacetime. Performing a perturbative calculation, within scalar quantum electrodynamics (sQED), we obtain the transition amplitude for the process and…

High Energy Physics - Theory · Physics 2016-10-12 Robert Blaga , Sergiu Busuioc

We adopt the general formalism, which was developed in Paper I (arXiv:0708.1233) to analyze the evolution of a quantized time-dependent oscillator, to address several questions in the context of quantum field theory in time dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Gaurang Mahajan , T. Padmanabhan

A new non-perturbative approach to quantum field theory --- D-theory --- is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction. The 2-d classical O(3) model…

High Energy Physics - Lattice · Physics 2009-10-30 B. B. Beard , R. C. Brower , S. Chandrasekharan , D. Chen , A. Tsapalis , U. -J. Wiese

We classify possible `self-duality' equations for p-form gauge fields in space-time dimension up to D=16, generalizing the pioneering work of Corrigan et al. (1982) on Yang-Mills fields (p=1) for D from 5 to 8. We impose two crucial…

High Energy Physics - Theory · Physics 2009-10-31 Laurent Baulieu , Celine Laroche

Arbitrary spin free massless fermionic fields corresponding to mixed symmetry representations of the \hbox{$SO(d-1)$} compact group and propagating in even $d$-dimensional anti-de Sitter spacetime are investigated. Free wave equations of…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Metsaev

We apply the principles discussed in an earlier paper to the construction of discrete time field theories. We derive the discrete time field equations of motion and Noether's theorem and apply them to the Schrodinger equation to illustrate…

High Energy Physics - Theory · Physics 2008-11-26 George Jaroszkiewicz , Keith Norton

Quantization of spinor and vector free fields in 4-dimensional de Sitter space-time, in the ambient space notation, has been studied in the previous works. Various two-points functions for the above fields are presented in this paper. The…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shahriar Rouhani , Mohammad Vahid Takook

We consider first order transition amplitudes in external fields in QED in the expanding de Sitter space and point out that they are gauge dependent quantities. We examine the gauge variations of the amplitudes assuming a decoupling of the…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Nistor Nicolaevici

In this work we show that universal gauge vector fields can be localized on the recently proposed 5D thick tachyonic braneworld which involves a de Sitter cosmological background induced on the 3-brane. Namely, by performing a suitable…

High Energy Physics - Theory · Physics 2014-04-22 Alfredo Herrera-Aguilar , Alma D. Rojas , Eli Santos-Rodriguez

An exactly solvable position-dependent mass Schr\"odinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional systems…

Mathematical Physics · Physics 2008-04-24 Christiane Quesne

We study the effects of Snyder-de Sitter commutation relations on relativistic bosons by solving analytically in the momentum space representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound states spectrum and the…

Quantum Physics · Physics 2021-02-16 Zoubir Hemame , Mokhtar Falek , Mustafa Moumni

We discuss the algebraic quantization of a real, massive scalar field in the Poincar\'e patch of the (d+1)-dimensional anti-de Sitter spacetime, with arbitrary boundary conditions. By using the functional formalism, we show that it is…

Mathematical Physics · Physics 2017-11-16 Claudio Dappiaggi , Hugo R. C. Ferreira

In terms of the Beltrami model of de Sitter space we show that there is an interchangeable relation between Snyder's quantized space-time model in dS-space of momenta at the Planck length $\ell_P=(G\hbar c^{-3})^{1/2}$ and the dS-invariant…

High Energy Physics - Theory · Physics 2007-05-23 Han-Ying Guo

We present a covariant quantization scheme for the so-called "partially massless" graviton field in de Sitter spacetime. Our approach is founded on the principles of the de Sitter group representation theory (in the sense given by Wigner),…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Jean-Pierre Gazeau , Hamed Pejhan

We consider a charged scalar field in a $D$-dimensional de Sitter spacetime and investigate pair creation by a Schwinger mechanism in a constant electric field background. Using a semiclassical approximation the current of the created pairs…

High Energy Physics - Theory · Physics 2017-01-11 Ehsan Bavarsad , Clément Stahl , She-Sheng Xue

We study the phase space structure of the Jackiw-Teitelboim model in its connection variables formulation where the gauge group of the field theory is given by local SL(2,R) (or SU(2) for the Euclidean model), i.e. the de Sitter group in…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Clisthenis P. Constantinidis , Alejandro Perez , Olivier Piguet

We consider scalar field theory in de Sitter space with a general vacuum invariant under the continuously connected symmetries of the de Sitter group. We begin by reviewing approaches to define this as a perturbative quantum field theory.…

High Energy Physics - Theory · Physics 2009-11-10 Kevin Goldstein , David A. Lowe

Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity. The models include the…

High Energy Physics - Theory · Physics 2015-05-27 Yan-Gang Miao , Ying-Jie Zhao

We discuss the functional Schroedinger picture for fermions in external fields for both stationary and time-dependent problems. We give formal results for the ground state and the solution of the time-dependent Schroedinger equation for QED…

High Energy Physics - Theory · Physics 2009-10-22 Claus Kiefer , Andreas Wipf