Numerical Study of Induced False Vacuum Decay at High Energies

Details Numerical Study of Induced False Vacuum Decay at High Energies Numerical Study of Induced False Vacuum Decay at High Energies

1995-10-16

arxiv.org/abs/hep-ph/9510310v3

Mod.Phys.Lett. A11 (1996) 479-490

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, latex, 4 PostScript figures, Factor of 2 normalization error propagating through some equations and few misprints co

Scientific paper

10.1142/S0217732396000527

We calculate numerically the probability $\exp[ {1\over\lambda} F(E/E_{sph},N/N_{sph})]$ of the false vacuum decay in the massive four-dimensional $-\lambda\phi^4$ model from multiparticle initial states with fixed number of particles $N$ and energy $E$ greater than the height of the barrier $E_{sph}$. We find that at $E\lsim 3E_{sph}$ and $N\lsim 0.4N_{sph}$ the decay is classically forbidden and thus is exponentially suppressed. We argue that the classically forbidden region extends at small $N$ at least up to $E\sim 10 E_{sph}$ and, most likely, to all energies. Our data suggest that the false vacuum decay induced by two-particle collisions is exponentially suppressed at all energies.

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