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.

arXiv comment10 pages, 1 fugure

References in corpus (9)

• Worldline Instantons and Pair Production in Inhomogeneous Fields
• Worldline Instantons II: The Fluctuation Prefactor
• QED effective action at finite temperature and density
• Schwinger type processes via branes and their gravity duals
• QED Effective Action at Finite Temperature: Two-Loop Dominance
• Instantons for Vacuum Decay at Finite Temperature in the Thin Wall Limit
• QED effective action at finite temperature
• Particle decay in false vacuum
• Non-Perturbative Decay of a Monopole: the Semiclassical Pre-Exponential Factor

Cited by in corpus (7)

• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Thermal Schwinger pair production at arbitrary coupling
• Thermally-induced vacuum instability in a single plane wave
• A simple way to take into account back reaction on pair creation
• Semiclassical description of soliton-antisoliton pair production in particle collisions
• Nonperturbative QED Effective Action at Finite Temperature
• Correlator of Wilson and t'Hooft Loops at Strong Coupling in $\mathcal{N}=4$ SYM Theory