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We consider the self-action problem in classical electrodynamics of a point-like charge arbitrarily moving in flat space-time of four or six dimensions. A consistent regularization procedure is proposed which exploits the symmetry…

Mathematical Physics · Physics 2009-07-20 Yurij Yaremko

The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the…

Optics · Physics 2016-02-08 Eric C. Le Ru , Walter R. C. Somerville , Baptiste Auguié

Kinematical relativistic effects are analyzed within the plane-wave impulse approximation for outgoing nucleon polarized responses in coincidence electron scattering. Following recent approaches for non-relativistic reductions of the…

Nuclear Theory · Physics 2016-08-16 M. C. Martínez , J. A. Caballero , T. W. Donnelly

Reparametrization-invariant theories of point relativistic particle interaction with fields of arbitrary tensor dimension are considered. It has been shown that the equations of motion obtained by Kalman [G. Kalman, Phys. Rev. vol.123,…

High Energy Physics - Theory · Physics 2007-05-23 R. R. Lompay

In these informal lecture notes we outline different approaches used in doing calculations involving the Dirac equation in curved spacetime. We have tried to clarify the subject by carefully pointing out the various conventions used and by…

General Relativity and Quantum Cosmology · Physics 2019-03-26 Peter Collas , David Klein

The equation of state for radiation is derived in a canonical formulation of the electromagnetic field. This allows one to include correction terms expected from canonical quantum gravity and to infer implications to the universe evolution…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald , Rupam Das

A new method to visualize the curvature of spacetime was recently proposed. This method finds the eigenvectors of the "electric" and "magnetic" components of the Weyl tensor and, in analogy to the field lines of electromagnetism, uses the…

General Relativity and Quantum Cosmology · Physics 2011-09-08 Aaron Zimmerman , David A. Nichols , Fan Zhang

This paper considers the relativistic motion of charged particles coupled with electromagnetic fields in the higher-order theory proposed by Bopp, Land\'e--Thomas, and Podolsky. We rigorously derive a world-line integral expression for the…

Mathematical Physics · Physics 2024-06-19 Alan Baza , Aaron DeLeon , Angel Harb , Vu Hoang , Maria Radosz

We study light propagation in the picture of semi-classical space-time that emerges in canonical quantum gravity in the loop representation. In such picture, where space-time exhibits a polymer-like structure at microscales, it is natural…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rodolfo Gambini , Jorge Pullin

We study the gravitational wave memory effect in spacetimes related to flat space by a conformal transformation. The discussion is general but the gravitational wave length scale is assumed to be small compared with the background curvature…

General Relativity and Quantum Cosmology · Physics 2023-05-11 Niko Jokela , K. Kajantie , Miika Sarkkinen

We derive a massive analog of the ALD (Abraham, Lorentz and Dirac) equation, i.e., the equation of motion of a relativistic charged particle with a radiation reaction term induced by emissions of massive fields. We show that the radiation…

High Energy Physics - Theory · Physics 2013-05-30 Satoshi Iso , Sen Zhang

The aim of these notes is to elucidate some aspects of quantum field theory in curved spacetime, especially those relating to the notion of particles. A selection of issues relevant to wave-particle duality is given. The case of a generic…

General Physics · Physics 2008-03-13 Vladimir Mashkevich

Gravitational redshift is discussed in the context of quantum photons propagating in curved spacetime. A brief introduction to modelling realistic photons is first presented and the effect of gravity on the spectrum computed for photons…

The effective equation of motion is derived for a scalar field interacting with other fields in a Friedman-Robertson-Walker background space-time. The dissipative behavior reflected in this effective evolution equation is studied both in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arjun Berera , Rudnei O. Ramos

We take the viewpoint that the physically acceptable solutions of the Lorentz--Dirac equation for radiation back-reaction are actually determined by a second order equation of motion, the self-force being given as a function of spacetime…

Mathematical Physics · Physics 2017-12-05 Tamás Matolcsi , Tamás Fülöp , Mihály Weiner

We briefly review the need to perform renormalization of inflationary perturbations to properly work out the physical power spectra. We also summarize the basis of (momentum-space) renormalization in curved spacetime and address several…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Ivan Agullo , Jose Navarro-Salas , Gonzalo J. Olmo , Leonard Parker

In this paper, we seek to find a modified theory of gravity that accounts for the back-reaction of QED on curved spacetime. It is already known that vacuum fluctuations induce interactions between gravity and photons. An effective action…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Vyshnav Mohan

We study the space and properties of global and local observables for radiation emitted in the scattering of a massive scalar field in gauge and gravitational plane-wave backgrounds, in both the quantum and classical theory. We first…

High Energy Physics - Theory · Physics 2024-03-14 Riccardo Gonzo , Anton Ilderton

This paper is an electronic application to my set of lectures, subject:`Formal methods in solving differential equations and constructing models of physical phenomena'. Addressed, mainly: postgraduates and related readers. Content: a…

Mathematical Physics · Physics 2007-05-23 Sergej A. Choroszavin

We numerically calculate the dissipative part of the self-force on a scalar charge moving on a circular, geodesic, equatorial orbit in Kerr spacetime. The solution to the scalar field equation is computed by separating variables and is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Samuel E. Gralla , John L. Friedman , Alan G. Wiseman
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