Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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22 citations
01 Jan 1997
TL;DR: In this article, a 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.
Abstract: 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
22 citations
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TL;DR: In this article, a new asymptotic expansion algorithm related to the Chapman-Enskog expansion in kinetic theory is applied to systems of linear evolution equations, and the uniform convergence of the asymPT solution to the exact one is shown.
Abstract: A new asymptotic expansion algorithm related to the Chapman-Enskog expansion in kinetic theory is applied to systems of linear evolution equations. The uniform convergence of the asymptotic solution to the exact one is shown. The algorithm is applied to the linearized Carleman model of the Boltzmann equation, to the neutron transport equation, and to the Fokker-Planck equation.
22 citations