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In a relativistic classical and quantum mechanics with Poincare-invariant parameter, particle worldlines are traced out by the evolution of spacetime events. In pre-Maxwell electrodynamics -- the local gauge theory associated with this…

High Energy Physics - Theory · Physics 2009-12-30 Martin Land

Previous studies from the astrophysics and laser physics communities have identified an interesting phenomenon wherein ultrarelativistic charged particles experiencing strong radiation reaction tend to move along special directions fixed by…

High Energy Astrophysical Phenomena · Physics 2023-09-19 Yangyang Cai , Samuel E. Gralla , Vasileios Paschalidis

We demonstrate how a Lorentz covariant formulation of the chiral p-form model in D=2(p+1) containing infinitely many auxiliary fields is related to a Lorentz covariant formulation with only one auxiliary scalar field entering a chiral…

High Energy Physics - Theory · Physics 2009-10-30 Paolo Pasti , Dmitri Sorokin , Mario Tonin

Starting from the coupling of a relativistic quantum particle to the curved Schwarzschild space-time, we show that the Dirac--Schwarzschild problem has bound states and calculate their energies including relativistic corrections.…

General Relativity and Quantum Cosmology · Physics 2014-08-21 U. D. Jentschura

We study a first-order formulation for the coupled evolution of a quantum scalar field and a classical Friedmann universe. The model is defined by a state dependent hamiltonian constraint and the time dependent Schr\"odinger equation for…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Viqar Husain , Suprit Singh

We study the electromagnetic field equations on an arbitrary quantum curved background in the semiclassical approximation of Loop Quantum Gravity. The effective interaction hamiltonian for the Maxwell and gravitational fields is obtained…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Kozameh , Florencia Parisi

Charged particles accelerated by electromagnetic fields emit radiation, which must, by the conservation of momentum, exert a recoil on the emitting particle. The force of this recoil, known as radiation reaction, strongly affects the…

Plasma Physics · Physics 2020-03-31 T. G. Blackburn

We discuss the possibility of explaining the observation of ultra-high-energy cosmic rays with energy above the GZK cutoff, saving the relativity principle and the (possibly deformed) Lorentz symmetry, as proposed recently by several…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Toller

In the classical electrodynamics of point charges in vacuum, the electromagnetic field, and therefore the Lorentz force, is ill-defined at the locations of the charges. Kiessling resolved this problem by using the momentum balance between…

Mathematical Physics · Physics 2024-03-20 Aditya Agashe , Ethan Lee , A. Shadi Tahvildar-Zadeh

Radiation reaction (but, more generally, fluctuations and dissipation) occurs when a system interacts with a heat bath, a particular case being the interaction of an electron with the radiation field. We have developed a general theory for…

Quantum Physics · Physics 2015-06-04 R. F. O'Connell

We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the coaccelerated frame. We consider…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Georgios Vacalis , Atsushi Higuchi , Robert Bingham , Gianluca Gregori

The self force of electrodynamics is derived from a scalar field. The resulting equation of motion is free of all of the problems that plague the Lorentz Abraham Dirac equation. The age-old problem of a particle in a constant field is…

Classical Physics · Physics 2015-05-30 Richard T Hammond

Two alternative ways of description an evolution constrained by mass-shell equation are given by the hyperbolic and the periodic angles. In the both cases the angles are proportional to the mass. The differential operators with respect to…

General Physics · Physics 2015-06-11 Robert M. Yamaleev

In this paper we study nonlinear problems for Ornstein-Uhlenbeck operators \begin{align*} A\triangle v(x) + \left\langle Sx,\nabla v(x)\right\rangle + f(v(x)) = 0,\,x\in\mathbb{R}^d,\,d\geqslant 2, \end{align*} where the matrix…

Analysis of PDEs · Mathematics 2016-02-11 Wolf-Jürgen Beyn , Denny Otten

The colliding between ultra-relativistic electrons and an ultra-intense laser pulse is a powerful approach to testify the physics in strong-field QED regime. By considering spin-dependent radiation-reaction during laser-electron collision…

Plasma Physics · Physics 2020-07-02 X. S. Geng , L. L. Ji , B. F. Shen , B. Feng , Z. Guo , Q. Q. Han , C. Y. Qin , N. W. Wang , W. Q. Wang , Y. T. Wu , X. Yan , Q. Yu , L. G. Zhang , Z. Z. Xu

We derive the radiation reaction forces on a compact binary inspiral through 3.5 order in the post-Newtonian expansion using the effective field theory approach. We utilize a recent formulation of Hamilton's variational principle that…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Chad R. Galley , Adam K. Leibovich

We present an effective field theory study of radiation and radiation reaction effects for scalar and electromagnetic fields in general spacetime dimensions. Our method unifies the treatment of outgoing radiation and its reaction force…

High Energy Physics - Theory · Physics 2015-09-28 Ofek Birnholtz , Shahar Hadar

Using physical arguments, I derive the physically correct equations of motion for a classical charged particle from the Lorentz-Abraham-Dirac equations (LAD) which are well known to be physically incorrect. Since a charged particle can…

Classical Physics · Physics 2009-11-13 Fritz Rohrlich

The relativistic Lagrangian for a spinning particle in an electromagnetic field is derived from the known Lagrangian in the particle's rest frame. The resulting relativistic Stern-Gerlach and Thomas precession forces on the particle are…

Accelerator Physics · Physics 2013-10-24 C. Tschalaer

A relativistic equation is proposed for the bound state of two particles, which is in accord with the boundary condition for the propagation of the negative-energy states and reduces to the (one-body)Dirac equation in the infinite limit of…

High Energy Physics - Phenomenology · Physics 2008-02-03 Hitoshi Ito
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