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A simple theoretical model of scalar fields in one spatial dimension with internal symmetry is considered. Assuming the existence of localized classical field configurations, the Schr\"{o}dinger picture is used to describe their quantum…

High Energy Physics - Theory · Physics 2021-01-01 Avtandil Shurgaia

We discuss kinematical properties of a free relativistic particle with deformed phase space in which momentum space is given by (a submanifold of) de Sitter space. We provide a detailed derivation of the action, Hamiltonian structure and…

High Energy Physics - Theory · Physics 2011-04-20 Michele Arzano , Jerzy Kowalski-Glikman

We consider the motion of small bodies in general relativity. The key result captures a sense in which such bodies follow timelike geodesics (or, in the case of charged bodies, Lorentz-force curves). This result clarifies the relationship…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Robert Geroch , James Owen Weatherall

We provide detailed calculations for the classification of representations of compact simple Lie groups with non-empty boundary in the orbit space, first announced in a previous paper [arXiv:2112.00513] by the same authors.

Differential Geometry · Mathematics 2023-12-06 Claudio Gorodski , Andreas Kollross , Burkhard Wilking

The scalar and electromagnetic fields of charges uniformly accelerated in de Sitter spacetime are constructed. They represent the generalization of the Born solutions describing fields of two particles with hyperbolic motion in flat…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jiri Bicak , Pavel Krtous

We study a simple toy model, which although probably does not have any direct physical applications, can serve as a nice pedagogical example for explanation strange phenomenon of negative radiation pressure and can also give some insight…

High Energy Physics - Theory · Physics 2008-12-19 Tomasz Romanczukiewicz

Free bosonic fields are investigated at a classical level by imposing their characteristic de Broglie periodicities as constraints. In analogy with finite temperature field theory and with extra-dimensional field theories, this…

High Energy Physics - Theory · Physics 2011-01-26 Donatello Dolce

The vanishing of the cross section for particular points in phase space - radiation zeros - is examined for the process $ q \bar q \to W^+W^- \gamma$ at high energy. For photon energies that are not too large, the cross section does exhibit…

High Energy Physics - Phenomenology · Physics 2007-05-23 Anja Werthenbach

In previous work the authors analysed the global properties of an approximate model of radiation damping for charged particles. This work is put into context and related to the original motivation of understanding approximations used in the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Markus Kunze , Alan D. Rendall

It is shown that the physical states of a source free gauge field form pre-Hilbert spaces already on the classical level. These spaces may be closed in such a way that the determining characteristics remain. One type of free fields has a…

Mathematical Physics · Physics 2015-11-09 Christian Högfors Ziebell

Hyperbolic encounters of compact objects are common interactions in dense environments. During this process a significant amount of gravitational radiation is emitted depending on the parameters of the system. Here we give a parametric…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Mátyás Vasúth

The question of existence of general, asymptotically flat radiative spacetimes and examples of explicit classes of radiative solutions of Einstein's field equations are discussed in the light of some new developments. The examples are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Bicak

Gravitational radiation of binary systems can be studied by using the adiabatic approximation in General Relativity. In this approach a small astrophysical object follows a trajectory consisting of a chained series of bounded geodesics…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Fayos , Ch. Teijon-Lumbreras

Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group $SO_0(1,4)$ or $Sp(2,2)$ as an appealing substitute to the flat space-time Poincare relativity. Quantum…

High Energy Physics - Theory · Physics 2010-01-28 Jean-Pierre Gazeau , Petr Siegl , Ahmed Youssef

Functions which are covariant or invariant under the transformations of a compact linear group $G$ acting in a euclidean space $\real^n$, can be profitably studied as functions defined in the orbit space of the group. The orbit space is the…

Mathematical Physics · Physics 2007-05-23 G. Sartori , G. Valente

We consider the electromagnetic vacuum field inside a perfect plane cavity with moving mirrors, in the nonrelativistic approximation. We show that low frequency photons are generated in pairs that satisfy simple properties associated to the…

Quantum Physics · Physics 2009-10-31 D. F. Mundarain , P. A. Maia Neto

We use geometric arguments to derive a possible form for the radial part of the ``zero-mode Hamiltonian'' for the two dimensional sigma model with target space S^3, or more generally a compact simply connected Lie group.

Mathematical Physics · Physics 2009-11-10 Doug Pickrell

The problem of blackbody radiation in flat space with non-compact extra dimensions was analysed recently. In the present article we reanalyse this problem with compact (and non-compact) extra dimensions in flat space to observe the…

Quantum Physics · Physics 2011-11-14 Ramaton Ramos , Henrique Boschi-Filho

We consider a pair of identical two-level atoms interacting with a scalar field in one dimension, separated by a distance $x_{21}$. We restrict our attention to states where one atom is excited and the other is in the ground state, in…

Quantum Physics · Physics 2009-11-10 Gonzalo Ordonez , Sungyun Kim

An array of $N$ closely spaced dipole coupled quantum emitters exhibits super- and subradiance with characteristic tailorable spatial radiation patterns. Optimizing their geometry and distance with respect to the spatial profile of a near…

Quantum Physics · Physics 2019-03-08 David Plankensteiner , Christian Sommer , Helmut Ritsch , Claudiu Genes