Quantum Field Theory in the Limit x << 1

Details Quantum Field Theory in the Limit x << 1 Quantum Field Theory in the Limit x << 1

1998-02-05

arxiv.org/abs/hep-th/9802031v1

Int.J.Mod.Phys. A15 (2000) 1773-1816

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 3 postscript figures, uses LaTeX2e with feynmf, amssymb and psfig (processing comments at the beginning of the main

Scientific paper

10.1142/S0217751X00000781

The asymptotic high momentum behaviour of quantum field theories with cubic interactions is investigated using renormalization group techniques in the asymmetric limit x << 1. Particular emphasis is paid to theories with interactions involving more than one field where it is found that a matrix renormalization is necessary. Asymptotic scaling forms, in agreement with Regge theory, are derived for the elastic two-particle scattering amplitude and verified in one-loop renormalization group improved perturbation theory, corresponding to the summation of leading logs to all orders. We give explicit forms for the Regge trajectories of different scalar theories in this approximation and determine the signatures.

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