2001/05/31 by Martin B. Einhorn, José Wudka, Jose Wudka · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Frequency and Time Standards #Numerical methods for differential equations #Particle Accelerators and Free-Electron Lasers #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2001/08/025
published as JHEP 0108:025,2001 · 13 pages, LaTeX (requires JHEP class). Version 3: additional references and a slight expansion of Sections 3 and 5. No substantive changes
arxiv created 2001/06/23 · openalex publication_date 2001/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.