TY - JOUR

T1 - Estimate of the onset of non-perturbative particle production at high energy in a scalar theory

AU - Voloshin, M. B.

N1 - 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.

PY - 1992/10/29

Y1 - 1992/10/29

N2 - 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.

AB - 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.

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U2 - 10.1016/0370-2693(92)90901-F

DO - 10.1016/0370-2693(92)90901-F

M3 - Article

AN - SCOPUS:0000929835

SN - 0370-2693

VL - 293

SP - 389

EP - 394

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -