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The local momentum space expansion for the real vector field is considered. Using Riemann normal coordinates we obtain an expansion of the Feynman Green function up and including terms that are quadratic in the curvature. The results are…

High Energy Physics - Theory · Physics 2015-06-22 David J. Toms

A tetrad-based procedure is presented for solving Einstein's field equations for spherically-symmetric systems; this approach was first discussed by Lasenby et al. in the language of geometric algebra. The method is used to derive metrics…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Roshina Nandra , Anthony N. Lasenby , Michael P. Hobson

We derive effective equations of motion for a massless charged particle coupled to the dynamical electromagnetic field having regard to the radiation back reaction. It is shown that unlike the massive case not all the divergences resulting…

High Energy Physics - Theory · Physics 2014-11-18 P. O. Kazinski , A. A. Sharapov

The approximate stress-energy tensor of the quantized massive scalar, spinor and vector fields in the spatially flat Friedman-Robertson-Walker universe is constructed. It is shown that for the scalar fields with arbitrary curvature…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Jerzy Matyjasek , Paweł Sadurski

The radiation reaction for a point-like charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein-Gordon wave equation has support not only on the future light cone of the emission point…

Mathematical Physics · Physics 2012-07-23 Yurij Yaremko

An accelerated charge interacts with its own electromagnetic field, a phenomenon known as electromagnetic radiation reaction. The DeWitt-Brehme-Hobbs (DWBH) equation describes the motion of a charged mass in the presence of combined…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Giulio Audagnotto , Antonino Di Piazza

We present novel methods to numerically address the problem of characterizing the response of particle detectors in curved spacetimes. These methods allow for the integration of the Wightman function, at least in principle, in rather…

Quantum Physics · Physics 2014-09-18 Keith K. Ng , Lee Hodgkinson , Jorma Louko , Robert B. Mann , Eduardo Martin-Martinez

We study quantum radiation generated by an accelerated motion of a small body with a refractive index n which differes slightly from 1. To simplify calculations we consider a model with a scalar massless field. We use the perturbation…

General Relativity and Quantum Cosmology · Physics 2011-07-19 V. Frolov , D. Singh

The radiation reaction fields are calculated for an accelerated changing dipole in scalar and electromagnetic radiation fields. The acceleration reaction is shown to alter the damping of a time varying dipole in the EM case, but not the…

Classical Physics · Physics 2009-10-31 W. G. Unruh

Nonequilibrium Green's function methods allow for an intrinsically consistent description of the evolution of quantal many-body body systems, with inclusion of different types of correlations. In this paper, we focus on the practical…

Nuclear Theory · Physics 2011-04-20 Arnau Rios , Brent Barker , Mark Buchler , Pawel Danielewicz

The covariant kinetic approach for the radiative plasma, a mixture of a relativistic moving gas plus radiation quanta (photons, neutrinos, or gravitons) is generalized to D spatial dimensions. The operational and physical meaning of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Maia , J. A. S. Lima

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

The pointwise space-time behavior of the Green's function of the three-dimensional relativistic Boltzmann equation is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive waves and…

Analysis of PDEs · Mathematics 2024-05-13 Yanchao Li , Mingying Zhong

By calculating the response function, we study the Hawking radiation of massless Dirac fields in the (2+1)-dimensional black hole geometry. We find that the response function has Planck distributions, with the temperature that agrees with…

High Energy Physics - Theory · Physics 2009-10-28 S. Hyun , Y. -S. Song , J. H. Yee

We adopt the Dirac-Detweiler-Whiting radiative and regular effective field in curved spacetime. Thereby, we derive straightforwardly the first order perturbative correction to the geodesic of the background in a covariant form, for the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Alessandro D. A. M. Spallicci , P. Ritter , S. Aoudia

The Hadamard parametrix is a representation of the short-distance singularity structure of the Feynman Green's function for a quantum field on a curved space-time background. Subtracting these divergent terms regularizes the Feynman Green's…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Visakan Balakumar , Elizabeth Winstanley

General relativity uses curved space-time to describe accelerating frames. The movement of particles in different curved space-times can be regarded as equivalent physical processes based on the covariant transformation between different…

Optics · Physics 2018-10-24 Fan Zhong , Jensen Li , Hui Liu , Shining Zhu

We consider the quantum reaction-diffusion dynamics in $d$ spatial dimensions of a Fermi gas subject to binary annihilation reactions $A+A \to \emptyset$. These systems display collective nonequilibrium long-time behavior, which is…

Statistical Mechanics · Physics 2024-07-02 Federico Gerbino , Igor Lesanovsky , Gabriele Perfetto

The short-distance singular structure of the two-point function of a free scalar field in curved spacetime has a universal behavior that characterizes well-behaved states (called Hadamard states). This includes a non-analytic term…

High Energy Physics - Theory · Physics 2025-10-31 Ameya Chavda , Alberto Nicolis , Alessandro Podo , John Staunton

A renormalization scheme which relies on energy-momentum and angular momentum balance equations is applied to the derivation of effective equation of motion for a massless point-like charge. Unlike the massive case, the rates of radiated…

Mathematical Physics · Physics 2009-07-22 Yurij Yaremko