| Popis: |
We use functional Schroedinger equation techniques, both for [lambda][phi][sup 4] theory (no tunneling) and for [ital B]+[ital L] violation in SU(2) gauge theory, to estimate amplitudes for the decay of one off-shell particle into [ital N] on-shell particles, in the fixed-angle regime, when [ital N][lambda][ge]1 ([lambda][phi][sup 4]) or at the sphaleron energy [similar to][ital M][sub [ital W]]/[alpha][sub [ital W]] for gauge theory. The results, based for [lambda][phi][sup 4] theory on a mean-gradient approach approximate for large [ital N] (small [lambda]) and for gauge theory on an accurate picture of the ground-state wave functional for large potentials, are that in [lambda][phi][sup 4] theory the leading behavior of such an amplitude is [ital e][sup [minus][beta][ital N]], [beta][similar to]1, while in gauge theory the ([ital B]+[ital L])-violating cross section is suppressed by [ital e][sup [minus]2[pi]/[alpha]][sub [ital W]], with an exponent 1/2 the 't Hooft exponent. |
