The Rotation Average in Lightcone Time-Ordered Perturbation Theory

Details The Rotation Average in Lightcone Time-Ordered Perturbation Theory The Rotation Average in Lightcone Time-Ordered Perturbation Theory

1998-09-02

arxiv.org/abs/hep-ph/9809232v1

Phys.Rev.D58:105020,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, REVTeX, epsf.sty, 69 eps files

Scientific paper

10.1103/PhysRevD.58.105020

We present a rotation average of the two-body scattering amplitude in the lightcone time($\tau$)-ordered perturbation theory. Using a rotation average procedure, we show that the contribution of individual time-ordered diagram can be quantified in a Lorentz invariant way. The number of time-ordered diagrams can also be reduced by half if the masses of two bodies are same. In the numerical example of $\phi^{3}$ theory, we find that the higher Fock-state contribution is quite small in the lightcone quantization.

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