### Abstract

We derive effective equations of motion for a massless charged particle coupled to the dynamical electromagnetic field with regard to the radiation back reaction. It is shown that unlike the massive case, not all the divergences resulting from the self-action of the particle are Lagrangian, i.e., can be cancelled out by adding appropriate counterterms to the original action. Besides, the order of renormalized differential equations governing the effective dynamics turns out to be greater than the order of the corresponding Lorentz-Dirac equation for a massive particle. For the case of a homogeneous external field, the first radiative correction to the Lorentz equation is explicitly derived via the reduction of order procedure.

Original language | English |
---|---|

Pages (from-to) | 2715-2725 |

Number of pages | 11 |

Journal | Classical and Quantum Gravity |

Volume | 20 |

Issue number | 13 |

DOIs | |

Publication status | Published - 7 Jul 2003 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Classical and Quantum Gravity*,

*20*(13), 2715-2725. https://doi.org/10.1088/0264-9381/20/13/319

**Radiation reaction for a massless charged particle.** / Kazinski, P. O.; Sharapov, A. A.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 20, no. 13, pp. 2715-2725. https://doi.org/10.1088/0264-9381/20/13/319

}

TY - JOUR

T1 - Radiation reaction for a massless charged particle

AU - Kazinski, P. O.

AU - Sharapov, A. A.

PY - 2003/7/7

Y1 - 2003/7/7

N2 - We derive effective equations of motion for a massless charged particle coupled to the dynamical electromagnetic field with regard to the radiation back reaction. It is shown that unlike the massive case, not all the divergences resulting from the self-action of the particle are Lagrangian, i.e., can be cancelled out by adding appropriate counterterms to the original action. Besides, the order of renormalized differential equations governing the effective dynamics turns out to be greater than the order of the corresponding Lorentz-Dirac equation for a massive particle. For the case of a homogeneous external field, the first radiative correction to the Lorentz equation is explicitly derived via the reduction of order procedure.

AB - We derive effective equations of motion for a massless charged particle coupled to the dynamical electromagnetic field with regard to the radiation back reaction. It is shown that unlike the massive case, not all the divergences resulting from the self-action of the particle are Lagrangian, i.e., can be cancelled out by adding appropriate counterterms to the original action. Besides, the order of renormalized differential equations governing the effective dynamics turns out to be greater than the order of the corresponding Lorentz-Dirac equation for a massive particle. For the case of a homogeneous external field, the first radiative correction to the Lorentz equation is explicitly derived via the reduction of order procedure.

UR - http://www.scopus.com/inward/record.url?scp=0038165893&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038165893&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/20/13/319

DO - 10.1088/0264-9381/20/13/319

M3 - Article

VL - 20

SP - 2715

EP - 2725

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 13

ER -