Leading Logarithms in Field Theory

Details Leading Logarithms in Field Theory Leading Logarithms in Field Theory

1997-12-02

arxiv.org/abs/hep-ph/9712237v2

Int.J.Mod.Phys. A14 (1999) 1769-1788

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex file, 20 pages, no figures, corrected some typos

Scientific paper

10.1142/S0217751X99000907

We consider the Sudakov form factor in effective theories and we show that one can derive correctly the double logarithms of the original, high-energy, theory. We show that in effective theories it is possible to separate explicitely soft and hard dynamics being these two regimes related to velocity conserving and to velocity changing operators respectively. A new effective theory is sketched which extracts the leading collinear singularities of the full theory amplitudes. Finally, we show how all leading logarithmic effects in field theory can be obtained by means of simple effective theories, where they correspond to a renormalization effect.

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