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Instanton propagator in scalar model: exact expression and contribution to instanton induced processes

Yu. A. Kubyshin, P. G. Tinyakov

hep-pharXiv:hep-ph/0001156

Abstract

The propagator in the instanton background in the -lambda phi4 scalar model in four dimensions is studied. Leading and sub-leading terms of its asymptotics for large momenta and its on-shell double residue are calculated. These results are applied to the analysis of the initial state and initial-final state corrections and the calculation of the next-to-leading (propagator) correction to the exponent of the cross section of multiparticle scattering processes.

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