Estimate of the onset of non-perturbative particle production at high energy in a scalar theory

M. B. Voloshin

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33 Scopus citations

Abstract

A rigorous lower bound is obtained on the growth of the imaginary part of the propagator of the field φ in λφ4 theory at large time-like q2 as given by the tree graphs. The bound suggests that this imaginary part develops a large non-perturbative contribution due to states with n > const./λ particles. An upper limit on the energy at which the growth of the probability gets into conflict with unitarity is estimated. When applied to the minimal standard electroweak model this estimate indicates that the energy scale of possible new non-perturbative electroweak phenomena goes into hundreds of TeV.

Original languageEnglish (US)
Pages (from-to)389-394
Number of pages6
JournalPhysics Letters B
Volume293
Issue number3-4
DOIs
StatePublished - Oct 29 1992

Bibliographical note

Funding Information:
I am thankful to the organizers of the Study Group at Santa Fe, where this paper was completed. This work is supported in part by the DOE grant DE-AC02-83ER40105.

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