English

Relativistic phase space: dimensional recurrences

High Energy Physics - Theory 2008-11-26 v1

Abstract

We derive recurrence relations between phase space expressions in different dimensions by confining some of the coordinates to tori or spheres of radius RR and taking the limit as RR \to \infty. These relations take the form of mass integrals, associated with extraneous momenta (relative to the lower dimension), and produce the result in the higher dimension.

Keywords

Cite

@article{arxiv.hep-th/0301004,
  title  = {Relativistic phase space: dimensional recurrences},
  author = {R Delbourgo and M L Roberts},
  journal= {arXiv preprint arXiv:hep-th/0301004},
  year   = {2008}
}

Comments

13 pages, Latex, to appear in J Phys A