Theory of asymptotic operation. A summary of basic principles

Details Theory of asymptotic operation. A summary of basic principles Theory of asymptotic operation. A summary of basic principles

1997-01-12

arxiv.org/abs/hep-ph/9701272v3

Sov.J.Part.Nucl. 25 (1994) 649

Physics

High Energy Physics

High Energy Physics - Phenomenology

29p PS. Earlier versions of the same text in: Workshop "New Calc. Techniques (ETH, 1992)" and Sov.J.Nucl.Phys. 56 (1993) 180.

Scientific paper

This summary of several talks given in 1990-1993 discusses the problem of asymptotic expansions of multiloop Feynman diagrams in masses and external momenta - a central problem in perturbative quantum field theory. Basic principles of the theory of asymptotic operation -- the most powerful tool for that purpose -- are discussed. Its connection with the conventional methods is explained (the BPHZ theory, the method of leading logarithmic approximation etc.). The problem of non-euclidean asymptotic regimes is discussed as well as ways of its solution.

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