  We develop a truncated Hamiltonian method to study the nonequilibrium real
time dynamics following quenches in the Schwinger model - the quantum
electrodynamics in D=1+1. This is a purely continuum method that captures
reliably the invariance under local and global gauge transformations and does
not require a discretisation of space-time. We show that the 1+1D quantum
electrodynamics admits the dynamical horizon violation effect which was
recently discovered in the case of the sine-Gordon model. Following a quench of
a parameter of the model, oscillatory long-range correlations develop,
manifestly violating the horizon bound. We find that the oscillation
frequencies of the out-of-horizon correlations correspond to twice the masses
of the mesons present in the spectrum of the model suggesting that the effect
is mediated through correlated meson pairs, entangled by the quench. The
results presented here reveal a novel nonequilibrium phenomenon in 1+1D quantum
electrodynamics and make a first step to towards establishing that the horizon
violation effect is present in gauge field theory.
