English

Relative velocity in special relativity and quantum field theory

General Relativity and Quantum Cosmology 2026-04-28 v1 High Energy Physics - Phenomenology

Abstract

A derivation of the relative velocity used in the definition of the relativistic cross-section is given in terms of manifestly Lorentz invariant quantities. Along the way we find that there is a certain arbitrariness in the usual definition of cross-section.

Keywords

Cite

@article{arxiv.2604.23836,
  title  = {Relative velocity in special relativity and quantum field theory},
  author = {David Garfinkle},
  journal= {arXiv preprint arXiv:2604.23836},
  year   = {2026}
}