Semiclassical Treatment of Induced Schwinger Processes at Finite Temperature

Abstract

We consider induced pair production in an external field at finite temperature. One-loop correction to the Green function of a meson is calculated semiclassically within the framework of saddle-point analysis of Schwinger proper time integrals. This correction appears to be exponentially small in terms of inverse temperature dependence. Low-temperature limit is shown to be in full agreement with previously obtained zero-temperature results. The corrections in the low-temperature limits are estimated up to the leading exponential and pre-exponential terms. Comparison is made to earlier calculations of vacuum decay.

10 pages, 1 fugure

References in corpus (2)

• Worldline Instantons II: The Fluctuation Prefactor
• Non-Perturbative Decay of a Monopole: the Semiclassical Pre-Exponential Factor

Cited by in corpus (1)

• Correlator of Wilson and t'Hooft Loops at Strong Coupling in $\mathcal{N}=4$ SYM Theory