Relativistic phase space: dimensional recurrences

Details Relativistic phase space: dimensional recurrences Relativistic phase space: dimensional recurrences

2003-01-01

arxiv.org/abs/hep-th/0301004v1

J.Phys.A36:1719-1728,2003

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex, to appear in J Phys A

Scientific paper

10.1088/0305-4470/36/6/315

We derive recurrence relations between phase space expressions in different
dimensions by confining some of the coordinates to tori or spheres of radius
$R$ and taking the limit as $R \to \infty$. 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.

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