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Asymptotic expansions in limits of large momenta and masses

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Abstract

Asymptotic expansions of renormalized Feynman amplitudes in limits of large momenta and/or masses are proved. The corresponding asymptotic operator expansions for theS-matrix, composite operators and their time-ordered products are presented. Coefficient functions of these expansions are homogeneous within a regularization of dimensional or analytic type. Furthermore, they are explicitly expressed in terms of renormalized Feynman amplitudes (at the diagrammatic level) and certain Green functions (at the operator level).

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  1. Nuclear Physics Institute of Moscow State University, SU-119899, Moscow, USSR

    V. A. Smirnov

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Communicated by K. Gawedzki

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Smirnov, V.A. Asymptotic expansions in limits of large momenta and masses. Commun.Math. Phys. 134, 109–137 (1990). https://doi.org/10.1007/BF02102092

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