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An Ermakov-Pinney-like equation associated with the scalar wave equation in curved space-time is here studied. The example of Schwarzschild space-time considered in the present work shows that this equation can be viewed more as a model…

广义相对论与量子宇宙学 · 物理学 2020-07-01 Donato Bini , Giampiero Esposito

In a previous paper, we computed expressions for the Detweiler-Whiting singular field of point scalar, electromagnetic and gravitational charges following a geodesic of the Schwarzschild spacetime. We now extend this to the case of…

广义相对论与量子宇宙学 · 物理学 2014-01-29 Anna Heffernan , Adrian Ottewill , Barry Wardell

The self-gravitating Higgs field of a scalar charge is studied for the case of an asymmetric scalar doublet containing, along with a canonical and a phantom component. It is shown that in the zero and first approximation of the smallness of…

广义相对论与量子宇宙学 · 物理学 2024-10-28 Yu. G. Ignat'ev

The finite part of the self-force on a static scalar test-charge outside a Schwarzschild black hole is zero. By direct construction of Hadamard's elementary solution, we obtain a closed-form expression for the minimally coupled scalar field…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Alan G. Wiseman

Study the behaviour and the evolution of the cosmological field equations in an homogeneous and anisotropic spacetime with two scalar fields coupled in the kinetic term. Specifically, the kinetic energy for the scalar field Lagrangian is…

广义相对论与量子宇宙学 · 物理学 2021-10-22 A. Giacomini , P. G. L. Leach , G. Leon , A. Paliathanasis

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have…

高能物理 - 理论 · 物理学 2014-11-18 Shin'ichi Imai , Naoki Sasakura

We study the decay of charged scalar and spinor fields around Reissner-Nordstrom black holes in de Sitter spacetime through calculations of quasinormal frequencies of the fields. The influence of the parameters of the black hole (charge,…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A. A. Smirnov

We develop a frequency-domain method for calculating the self-force acting on a scalar charge on a fixed scattering geodesic in Schwarzschild spacetime. Existing frequency-domain methods, which are tailored for bound orbits, are inadequate…

广义相对论与量子宇宙学 · 物理学 2023-09-14 Christopher Whittall , Leor Barack

In this paper, the real scalar field equation in Schwarzschild-de Sitter spacetime is solved numerically with high precision. A method called polynomial approximation is introduced to derive the relation between the tortoise coordinate x…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Jianxiang Tian , Yuanxing Gui , Guanghai Guo , Yan Lv , Suhong Zhang , Wei Wang

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…

高能物理 - 理论 · 物理学 2021-01-01 Avtandil Shurgaia

We review the Schr\"odinger picture of field theory in curved spacetime and using this formalism, the power spectrum of massive non-interacting, minimally coupled scalars in a fixed de Sitter background is obtained. To calculate the N-point…

高能物理 - 理论 · 物理学 2018-07-17 Abasalt Rostami , Javad T. Firouzjaee

The scattering of a charged scalar field on Coulomb potential on de Sitter space-time is studied using the solution of the free Klein-Gordon equation. We find that the scattering amplitude is independent of the choice of the picture and in…

高能物理 - 理论 · 物理学 2008-11-26 Crucean Cosmin , Racoceanu Radu , Pop Adrian

We study the massive scalar field of a charged particle held at rest in conical thin-shell spacetimes with one or two asymptotic regions. Resonant and stable scalar Green's functions are characterized in terms of the coupling of the field…

广义相对论与量子宇宙学 · 物理学 2019-03-27 C. Tomasini , E. Rubín de Celis , C. Simeone

We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were…

广义相对论与量子宇宙学 · 物理学 2013-11-06 Ian Vega , Barry Wardell , Peter Diener , Samuel Cupp , Roland Haas

We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field and with an interaction defined by the Groenewold-Moyal…

高能物理 - 理论 · 物理学 2009-11-10 E. Langmann , R. J. Szabo , K. Zarembo

We investigate the possibility to localize scalar field configurations as a model for black hole accretion. We analyze and resolve difficulties encountered when localizing scalar fields in General Relativity. We illustrate this ability with…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Miguel Megevand , Ignacio Olabarrieta , Luis Lehner

We discuss the problem of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into…

广义相对论与量子宇宙学 · 物理学 2023-01-05 Vadim Egorov , Mikhail Smolyakov , Igor Volobuev

We investigate the (conformally coupled) scalar field on a general Carrollian spacetime in arbitrary dimension. The analysis discloses electric and magnetic dynamics. For both, we provide the energy and the momenta of the field, accompanied…

高能物理 - 理论 · 物理学 2022-10-12 David Rivera-Betancour , Matthieu Vilatte

We study the problem of self-energy of charges in higher dimensional static spacetimes. Application of regularization methods of quantum field theory to calculation of the classical self-energy of charges leads to model-independent results.…

高能物理 - 理论 · 物理学 2015-06-04 Valeri P. Frolov , Andrei Zelnikov

We discuss the problem of canonical quantization of electromagnetic field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the…

广义相对论与量子宇宙学 · 物理学 2025-12-25 Vadim Egorov , Mikhail Smolyakov , Igor Volobuev