Radiation reaction in nonrelativistic quantum electrodynamics

Moniz, Ernest J.; Sharp, David H.

doi:10.1103/physrevd.15.2850

Cited by 154 publications

(110 citation statements)

References 24 publications

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“…(For other approaches for studying the Lorentz-Dirac force in the context of QED, see Refs. [8,9,10,11,12].) This work indirectly shows that the Larmor formula is reproduced in the limit → 0 for a charged scalar particle in three-dimensional motion under the conditions specified because the Lorentz-Dirac force and energy-momentum conservation imply the Larmor formula.…”

Section: Introductionmentioning

confidence: 80%

Quantum corrections to the Larmor radiation formula in scalar electrodynamics

Higuchi

Walker

2009

Phys. Rev. D

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We use the semi-classical approximation in perturbative scalar quantum electrodynamics to calculate the quantum correction to the Larmor radiation formula to first order in Planck's constant in the non-relativistic approximation, choosing the initial state of the charged particle to be a momentum eigenstate. We calculate this correction in two cases: in the first case the charged particle is accelerated by a time-dependent but space-independent vector potential whereas in the second case it is accelerated by a time-independent vector potential which is a function of one spatial coordinate. We find that the corrections in these two cases are different even for a charged particle with the same classical motion. The correction in each case turns out to be non-local in time in contrast to the classical approximation.

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Section: Introductionmentioning

confidence: 80%

Quantum corrections to the Larmor radiation formula in scalar electrodynamics

Higuchi

Walker

2009

Phys. Rev. D

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“…(See, e.g., Refs. [12,13,14] for other approaches to arrive at the Lorentz-Dirac theory from QED.) Here we present in detail the generalization of this work to a fully relativistic particle, which was outlined in [11].…”

Section: Introductionmentioning

confidence: 99%

Classical and Quantum Radiation Reaction for Linear Acceleration

Higuchi

Martin

2005

Found Phys

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We investigate the effect of radiation reaction on the motion of a wave packet of a charged scalar particle linearly accelerated in quantum electrodynamics. We give the details of the calculations for the case where the particle is accelerated by a static potential that were outlined in Phys. Rev. D 70 (2004) 081701(R) and present similar results in the case of a time-dependent but space-independent potential. In particular, we calculate the expectation value of the position of the charged particle after the acceleration, to first order in the fine structure constant in the → 0 limit, and find that the change in the expectation value of the position (the position shift) due to radiation reaction agrees exactly with the result obtained using the Lorentz-Dirac force in classical electrodynamics for both potentials. We also point out that the one-loop correction to the potential may contribute to the position change in this limit.

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“…However, we cannot simply cancel the infinite self-action, because this inevitably would negate a radiative reaction observed experimentally. In the present paper we omit a detailed review of these problems, referring to the mentioned references [1][2][3][4][5][6][7][8][9][10][11], insofar as we will apply a primary modification of the energy-momentum tensor to remove an inconsistency, which seems not to have been revealed before.…”

Section: Introductionmentioning

confidence: 99%

“…One of the reasons, explaining such a great attention to these problems, is their persistence in quantum electrodynamics [9,10]. The simplest method to avoid the infinite EM mass of an electron is to add a compensating infinite negative mass.…”

Section: Introductionmentioning

confidence: 99%

On “Gauge Renormalization” in Classical Electrodynamics

Kholmetskii

2006

Found Phys

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In this paper we pay attention to the inconsistency in the derivation of the symmetric electromagnetic energy-momentum tensor for a system of charged particles from its canonical form, when the homogeneous Maxwell's equations are applied to the symmetrizing gauge transformation, while the non-homogeneous Maxwell's equations are used to obtain the motional equation. Applying the appropriate non-homogeneous Maxwell's equation to both operations, we have revealed an additional symmetric term in the tensor, named as "compensating term". Analyzing the structure of this "compensating term", we suggested a method of "gauge renormalization", which allows transforming the divergent terms of classical electrodynamics (infinite self-force, self-energy and self-momentum) to converging integrals. The motional equation obtained for a non-radiating charged particle does not contain its self-force, and the mass parameter includes the sum of mechanical and electromagnetic masses. The motional equation for a radiating particle also contains the sum of mechanical and electromagnetic masses, and does not yield any "runaway solutions". It has been shown that the energy flux in a free electromagnetic field is guided by the Poynting vector, whereas the energy flux in a bound EM field is described by the generalized Umov's vector, defined in the paper. The problem of "Poincaré stresses" is also examined. It has been shown that the presence of the "compensating term" in the electromagnetic energy-momentum tensor allows a solution of the "4/3 problem", where the total observable mass of the electron is completely determined by the Poincaré stresses and hence the conventional relativistic relationship between the energy and momentum is recovered.

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Radiation reaction in nonrelativistic quantum electrodynamics

Cited by 154 publications

References 24 publications

Quantum corrections to the Larmor radiation formula in scalar electrodynamics

Quantum corrections to the Larmor radiation formula in scalar electrodynamics

Classical and Quantum Radiation Reaction for Linear Acceleration

On “Gauge Renormalization” in Classical Electrodynamics

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