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AbstractAbstract
[en] We discuss the issue of the momentum dependence of instanton-induced amplitudes. We consider multi-loop graphs in gφ4, which on the one hand can be computed through the Lipatov approach using instantons and on the other hand are given by the usual Feynman graphs. Using this correspondence we can understand the peculiar momentum dependence. We find that the momentum dependence characteristic to the one-instanton amplitudes corresponds to low-multiplicity cuts, while the genuine ultraviolet behavior is dominated by high-multiplicity cuts which are not reproduced in the one-instanton approximation and presumably could be related to multi-instantons. The contribution of the multi-instanton configurations is estimated, and a boundary value of the momentum transfer where the regimes are changed is found. (orig.)
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ASYMPTOTIC SOLUTIONS, DISPERSION RELATIONS, FEYNMAN DIAGRAM, FORM FACTORS, FOUR MOMENTUM TRANSFER, GRIBOV-LIPATOV RELATION, INSTANTONS, LAGRANGIAN FIELD THEORY, LIMITING VALUES, MULTIPLE PRODUCTION, MULTIPLICITY, PERTURBATION THEORY, PHI4-FIELD THEORY, PROPAGATOR, RELATIVISTIC RANGE, SCALAR FIELDS, SCATTERING AMPLITUDES, SINGULARITY, ULTRAVIOLET DIVERGENCES
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