On Schwinger-like pair production of baryons and new non-perturbative processes in electric field

We consider the Schwinger production of baryons in an external electric field in the worldline instanton approach. The process occurs in the confinement regime hence the holographic QCD and the Chiral Lagrangian are used as the tools. The new exponentially suppressed processes in a constant electric field involving the composite worldline instantons are suggested. These include the non-perturbative decay of a neutron into a proton and charged meson and the spontaneous production of $p\bar{n}{\pi }^{-}$ and $n\bar{p}{\pi }^{+}$ states.