Semiclassical Approximation to Induced Schwinger Processes
Abstract:
Induced Schwinger processes are a natural
extension of spontaneous pair production phenomena in external
fields. In the present study we work out semiclassically the rate
of a specific induced decay process, namely, the non-perturbative
decay of a 't Hooft-Polyakov monopole into a dyon and a charged
fermion. The sub-leading semiclassical pre-exponential factor is
presented. The leading exponential factor is shown to be in full
agreement with the previous results derived in a different
technique. Analogous treatment is shown to hold for the
two-fermionic decay of the lightest bound state in Thirring model.
Thus restoring the ``effective meson-fermion vertex'' becomes
possible. General features of finite-temperature theories are
reviewed.
Thermal corrections are calculated to the process of the Thirring meson decay in
the high- and low-temperature limits.