English

Self-force: Computational Strategies

General Relativity and Quantum Cosmology 2021-04-07 v3 High Energy Astrophysical Phenomena

Abstract

Building on substantial foundational progress in understanding the effect of a small body's self-field on its own motion, the past 15 years has seen the emergence of several strategies for explicitly computing self-field corrections to the equations of motion of a small, point-like charge. These approaches broadly fall into three categories: (i) mode-sum regularization, (ii) effective source approaches and (iii) worldline convolution methods. This paper reviews the various approaches and gives details of how each one is implemented in practice, highlighting some of the key features in each case.

Keywords

Cite

@article{arxiv.1501.07322,
  title  = {Self-force: Computational Strategies},
  author = {Barry Wardell},
  journal= {arXiv preprint arXiv:1501.07322},
  year   = {2021}
}

Comments

Synchronized with final published version. Review to appear in "Equations of Motion in Relativistic Gravity", published as part of the Springer "Fundamental Theories of Physics" series. D. Puetzfeld et al. (eds.), Equations of Motion in Relativistic Gravity, Fundamental Theories of Physics 179, Springer, 2015

R2 v1 2026-06-22T08:15:26.408Z