Semiclassical transition in φ^4 theory

Details Semiclassical transition in φ^4 theory Semiclassical transition in φ^4 theory

1993-05-21

arxiv.org/abs/hep-ph/9305301v2

Nucl.Phys.B415:660-680,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, JHU-TIPAC-930013, (correct 2 typos, some notations)

Scientific paper

10.1016/0550-3213(94)90306-9

We have shown an example of semiclassical transition in $\phi^{4}$ theory with positive coupling constant. This process can be described by the classical $O(4)$-invariant solution, considered on a contour in the complex time plane. The transition is technically analogous to the one-instanton transition in the electroweak model. It is suppressed by the factor $\exp(-2S_{0})$, where $S_{0}$ is Lipatov instanton action. This process describes a semiclassical transition between two coherent states with much smaller number of particles in the initial state than in the final state. Therefore, it could be relevant to the problem of calculation of amplitudes for multiparticle production in $\phi^4$-type models.

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