Effective Beta-Functions for Effective Field Theory
Abstract
We consider the problem of determining the beta-functions for any reduced effective field theory. Even though not all the Green's functions of a reduced effective field theory are renormalizable, unlike the full effective field theory, certain effective beta- functions for the reduced set of couplings may be calculated without having to introduce vertices in the Feynman rules for redundant operators. These effective beta-functions suffice to apply the renormalization group equation to any transition amplitude (i.e., S- matrix element), thereby rendering reduced effective field theories no more cumbersome than traditionally renormalizable field theories. These effective beta-functions may equally be regarded as the running of couplings for a particular redefinition of the fields.
Cite
@article{arxiv.hep-ph/0105035,
title = {Effective Beta-Functions for Effective Field Theory},
author = {Martin B. Einhorn and Jose Wudka},
journal= {arXiv preprint arXiv:hep-ph/0105035},
year = {2010}
}
Comments
13 pages, LaTeX (requires JHEP class). Version 3: additional references and a slight expansion of Sections 3 and 5. No substantive changes