2003/03/27 by A. Vereshagin, Vereshagin, A., Vladimir V. Vereshagin +4
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum and Classical Electrodynamics #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0303242
23 pages, 1 .eps figure, to appear soon in J. Math. Sci. (NY), (2003). (Russian (preliminary) version: Zap. nauchn. sem. POMI, v.291, p.78 (2002))
arxiv created 2003/03/27 · openalex publication_date 2003/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the general properties of effective field theories. We note that the freedom to fix the renormalization conditions in the effective field theory is not as great as it seems. The consideration of minimal requirements of correctness of the perturbative scheme based on Dyson's formula for S-matrix leads to severe restriction on the essential parameters of a theory and, hence, on the allowed set of renormalization conditions. In the first part we make a short review of the structure of localizable effective field theories. We discuss the conditions needed to ensure the correctness of the very first step of perturbative calculation of the S-matrix -- the construction of the tree-level amplitudes. In the second part we consider the examples demonstrating the main stages of derivation and analysis of the system of bootstrap equations.