Use of singular classical solutions for calculation of multiparticle cross sections in field theory

Details Use of singular classical solutions for calculation of multiparticle cross sections in field theory Use of singular classical solutions for calculation of multiparticle cross sections in field theory

1999-01-11

arxiv.org/abs/hep-ph/9901270v1

Theor.Math.Phys.115:647-657,1998; Teor.Mat.Fiz.115:358-372,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 18 pages, 3 postscript figures

Scientific paper

10.1007/BF02575488

A method of reducing the problem of the calculation of tree multiparticle cross sections in $\phi^4$ theory to the solution of a singular classical Euclidean boundary value problem is introduced. The solutions are obtained numerically in terms of the decomposition in spherical harmonics, and the corresponding estimates of the tree cross sections at arbitrary energies are found. Numerical analysis agrees with analytical results obtained earlier in the limiting cases of large and small energies.

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