Instanton propagator and instanton induced processes in scalar model

Abstract

The propagator in the instanton background in the $(-\lambda {\varphi }^4)$ 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.

Comments: 44 pages, 7 postscript figures, LaTeX