Continuum approach to real time dynamics of 1+1D gauge field theory: out of 
horizon correlations of the Schwinger model

Kukuljan, Ivan

doi:10.1103/PhysRevD.104.L021702

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Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model

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Kukuljan, Ivan
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
Max Planck Harvard Center, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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Citation

Kukuljan, I. (2021). Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model. Physical Review D, 104(2): L021702. doi:10.1103/PhysRevD.104.L021702.

Cite as: https://hdl.handle.net/21.11116/0000-0008-CCF3-0

Abstract

We develop a truncated Hamiltonian method to study nonequilibrium real time
dynamics 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 use it to study a phenomenon that is expected not to be
tractable using lattice methods: 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 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 of the model suggesting that the
effect is mediated through correlated meson pairs. We also report on the
cluster violation in the massive version of the model, previously known in the
massless Schwinger model. The results presented here reveal a novel
nonequilibrium phenomenon in 1+1D quantum electrodynamics and make a first step
towards establishing that the horizon violation effect is present in gauge
field theory.