Radiation reaction at the level of the action

@article{Birnholtz2014RadiationRA,
  title={Radiation reaction at the level of the action},
  author={Ofek Birnholtz and Shahar Hadar and Barak Kol},
  journal={International Journal of Modern Physics A},
  year={2014},
  volume={29},
  pages={1450132}
}
The aim of this paper is to highlight a recently proposed method for the treatment of classical radiative effects, in particular radiation reaction, via effective field theory methods. We emphasize important features of the method and in particular the doubling of fields. We apply the method to two simple systems: a mass–rope system and an electromagnetic charge-field system. For the mass–rope system in 1 + 1 dimensions we derive a double-field effective action for the mass which describes a… Expand

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References

SHOWING 1-10 OF 20 REFERENCES
Action for reaction in general dimension
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 ofExpand
Theory of post-Newtonian radiation and reaction
We address issues with extant formulations of dissipative effects in the effective field theory (EFT) which describes the post-Newtonian (PN) inspiral of two gravitating bodies by (re)formulatingExpand
Radiation reaction and gravitational waves in the effective field theory approach
We compute the contribution to the Lagrangian from the leading order (2.5 post-Newtonian) radiation reaction and the quadrupolar gravitational waves emitted from a binary system using the effectiveExpand
Radiation reaction at 3.5 post-Newtonian order in effective field theory
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 ofExpand
Effective field theory of gravity for extended objects
Using effective field theory (EFT) methods we present a Lagrangian formalism which describes the dynamics of nonrelativistic extended objects coupled to gravity. The formalism is relevant toExpand
Classical theory of radiating electrons
The Lorentz model of the electron as a small sphere charged with electricity, possessing mass on account of the energy of the electric field around it, has proved very valuable in accounting for theExpand
Self-force with a stochastic component from radiation reaction of a scalar charge moving in curved spacetime
We give a quantum field theoretical derivation of the scalar Abraham-Lorentz-Dirac (ALD) equation and the self-force for a scalar charged particle interacting with a quantum scalar field in curvedExpand
MULTIPLE PRODUCTION OF PHOTONS IN QUANTUM ELECTRODYNAMICS
A formalism intended to evaluate the expectation value of physical quantities directly is applied to processes involving multiple production of photons in quantum electrodynamics. This application isExpand
Brownian Motion of a Quantum Oscillator
An action principle technique for the direct computation of expectation values is described and illustrated in detail by a special physical example, the effect on an oscillator of another physicalExpand
Non-relativistic gravitation: from Newton to Einstein and back
We present an improvement to the classical effective theory approach to the non-relativistic or post-Newtonian approximation of general relativity. The 'potential metric field' is decomposed throughExpand
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