Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-03-27
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 1 .eps figure, to appear soon in J. Math. Sci. (NY), (2003). (Russian (preliminary) version: Zap. nauchn. sem. POMI,
Scientific paper
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.
Semenov-Tian-Shansky Kirill
Vereshagin Alexander
Vereshagin Vladimir V.
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