Renormalization Group for Multiparticle Production in (2+1) Dimensions Around the Threshold
V. A. Rubakov, D. T. Son
Abstract
Multiparticle production in (2+1) dimensions is investigated. We show that in a small region around the threshold the perturbation theory becomes unapplicable due to infrared divergencies in a class of Feynman graphs with rescattering in final state. We develop a technique based on renormalization group for summing up leading logarithms and apply it to the ϕ4 models with and without symmetry breaking and to the O(N) ϕ4 theory.
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