Renormalization prescriptions and bootstrap in effective theories

Details Renormalization prescriptions and bootstrap in effective theories Renormalization prescriptions and bootstrap in effective theories

2005-01-15

arxiv.org/abs/hep-ph/0501140v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, talk given at QFTHEP 2004, Russia, June 2004, to be published in Proceedings

Scientific paper

We discuss the peculiar features of the renormalization procedure in the case of infinite-component effective theory. It is shown that in the case of physically interesting theories (namely, those leading to the amplitudes with asymptotic behavior governed by known Regge intercepts) the full system of required renormalization prescriptions only contains those needed to fix the minimal counterterm vertices with one, two, three and (in some cases) four lines. There is no necessity in imposing the prescriptions for n-leg counterterm vertices with (n > 4). Moreover, the prescriptions for n =< 4 cannot be taken arbitrary: an infinite system of bootstrap constraints must be taken into account. The general method allowing one to write down the explicit form of this system is explained and illustrated by the example of elastic scattering process.

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