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.

44 pages, 7 postscript figures, LaTeX

References in corpus (4)

• Confronting Instanton Perturbation Theory with QCD Lattice Results
• The Semiclassical Description of Tunneling in Scattering with Multiple Degrees of Freedom
• Propagator in the Instanton Background and Instanton-Induced Processes in Scalar Model
• Instantons in the QCD Vacuum and in Deep Inelastic Scattering

Cited by in corpus (3)

• Non-Minimally Coupled Pseudoscalars in AdS_4 for Instantons in CFT_3
• Solutions For Scalar Equations in AdS_4 with Adomian Method and Boundary CFT_3 Duals
• Higgs-like (pseudo)Scalars in AdS${}_4$, Marginal and Irrelevant Deformations in CFT_3 and Instantons on S^3