%0 Journal Article %T Instanton propagator and instanton induced processes in scalar model %A Yu. A. Kubyshin %A P. G. Tinyakov %J Physics %D 2000 %I arXiv %R 10.1103/PhysRevD.65.085007 %X The propagator in the instanton background in the $(- \lambda \phi^{4})$ 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 analytically. 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 instanton induced multiparticle scattering processes. %U http://arxiv.org/abs/hep-ph/0010226v1