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Generalized single-atom Maxwell-Bloch equations for optically dense media are derived taking into account non-cooperative radiative atom-atom interactions. Applying a Gaussian approximation and formally eliminating the degrees of freedom of…

Quantum Physics · Physics 2009-10-31 Michael Fleischhauer , Susanne F. Yelin

We extend the Post-Minkowskian (PM) effective field theory (EFT) approach to incorporate conservative and dissipative radiation-reaction effects in a unified framework. This is achieved by implementing the Schwinger-Keldysh "in-in"…

High Energy Physics - Theory · Physics 2023-02-15 Gregor Kälin , Jakob Neef , Rafael A. Porto

The quantum interpretation of classical radiation reaction coming from the near electromagnetic self-force (the so-called "Schott term") is given for the first time. The analysis is based on the Landau--Lifshitz equation for classical…

Atomic Physics · Physics 2023-02-01 Murat Khokonov

The dimensionful nature of the coupling in the Einstein-Hilbert action in four dimensions implies that the theory is non-renormalizable; explicit calculation shows that beginning at two loop order, divergences arise that cannot be removed…

High Energy Physics - Theory · Physics 2019-08-27 F. T. Brandt , J. Frenkel , D. G. C. McKeon

It has been known for some time that the classical concept of radiation is not covariant: for uniformly accelerated particles, it depends on the state of motion of the observer relative to the particle emitting it. Moreover, recent…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Felipe Ignacio Portales Oliva

A point particle of mass m moving on a geodesic creates a perturbation h, of the spacetime metric g, that diverges at the particle. Simple expressions are given for the singular m/r part of h and its quadrupole distortion caused by the…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

In coherent radiation of an ensemble of electrons, radiation field from electrons resonantly drives the other electrons inside to produce stimulated emission. The radiation reaction force on the electrons accounting for this stimulated…

Accelerator Physics · Physics 2024-07-12 Zhuoyuan Liu , Xiujie Deng , Tong Li , Lixin Yan

The Abraham-Lorentz-Dirac theory predicts vanishing radiation reaction for uniformly accelerated charges. However, since an accelerating observer should detect thermal radiation, the charge should be seen absorbing photons in the…

High Energy Physics - Theory · Physics 2021-04-21 Zoltán Tulipánt

We derive the Lorentz self force for an arbitrarily moving charged particle via averaging the retarded fields. The derivation is simple and at the same time pedagogically accessible. We obtain the radiation reaction for a charged particle…

Classical Physics · Physics 2015-06-19 Asrarul Haque

Despite the many successes of the relativistic quantum theory developed by Horwitz, et. al., certain difficulties persist in the associated covariant classical mechanics. In this paper, we explore these difficulties through an examination…

High Energy Physics - Theory · Physics 2009-10-30 M. C. Land

These notes provide two derivations of the Lorentz-Dirac equation. The first is patterned after Landau and Lifshitz and is based on the observation that the half-retarded minus half-advanced potential is entirely responsible for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eric Poisson

We derive the classical dynamics of massless charged particles in a rigorous way from first principles. Since due to ultraviolet divergences this dynamics does not follow from an action principle, we rely on a) Maxwell's equations, b)…

High Energy Physics - Theory · Physics 2015-06-19 Kurt Lechner

We investigate the resonance interaction energy between two uniformly accelerated identical atoms, interacting with the scalar field or the electromagnetic field in the vacuum state, in the reference frame coaccelerating with the atoms. We…

Quantum Physics · Physics 2016-11-29 Wenting Zhou , Roberto Passante , Lucia Rizzuto

We present a stochastic theory for the nonequilibrium dynamics of charges moving in a quantum scalar field based on the worldline influence functional and the close-time-path (CTP or in-in) coarse-grained effective action method. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Philip R. Johnson , B. L. Hu

We propose a manifestly Lorentz covariant, non-commutative Dirac equation for charged particles interacting with an electromagnetic field. The equation is formulated on the operator level, but operators are not composed through the normal…

High Energy Physics - Theory · Physics 2016-09-05 P. H. Williams , F. G. Scholtz

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Ito

It is well known that the third-order Lorentz-Dirac equation admits runaway solutions wherein the energy of the particle grows without limit, even when there is no external force. These solutions can be denied simply on physical grounds,…

General Physics · Physics 2009-11-07 Michael Ibison , Harold E. Puthoff

A Lorenz-covariant system of wave equations is formulated for a quantum-mechanical two-body system in one space dimension, comprised of one electron and one photon. Manifest Lorentz covariance is achieved using Dirac's formalism of…

Mathematical Physics · Physics 2020-12-02 Michael K. -H. Kiessling , Matthias Lienert , A. Shadi Tahvildar-Zadeh

This paper is a review of the canonical proper-time approach to relativistic mechanics and classical electrodynamics. The purpose is to provide a physically complete classical background for a new approach to relativistic quantum theory.…

Mathematical Physics · Physics 2010-09-17 Tepper L. Gill , Woodford W. Zachary

Although consensus seems to exist about the validity of equations accounting for radiation reaction in curved space-time, their previous derivations were criticized recently as not fully satisfactory: some ambiguities were noticed in the…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Dmitri Gal'tsov , Pavel Spirin , Simona Staub