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Massive Schwinger model within mass perturbation theory
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abstract
In this article we give a detailed discussion of the mass perturbation theory of the massive Schwinger model. After discussing some general features and briefly reviewing the exact solution of the massless case, we compute the vacuum energy density of the massive model and some related quantities. We derive the Feynman rules of mass perturbation theory and discuss the exact $n$-point functions with the help of the Dyson-Schwinger equations. Further we identify the stable and unstable bound states of the theory and compute some bound-state masses and decay widths. Finally we discuss scattering processes, where the resonances and particle production thresholds of the model are properly taken into account by our methods.
Forward citations
Cited by 3 Pith papers
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Onset of Bjorken Flow in Quantum Evolution of the Massive Schwinger Model
In the 1+1D massive Schwinger model, tensor network simulation of a localized excitation reveals Bjorken-like hydrodynamic flow for small fermion mass, but not for large mass.
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Collective motion in the massive Schwinger model via Tensor Network
Tensor-network simulations of the massive Schwinger model show Bjorken-like hydrodynamics at small m/g and sharp dynamical order parameters marking the parity-breaking phase transition near m/g=0.33 at θ=π.
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Applicability of kinetic theory in strongly coupled thermal quantum systems
In 1D lattice Schwinger and NJL models, single-particle momentum distributions dominate two-particle correlations once thermal kinetic energy becomes comparable to the interaction strength, supporting applicability of...
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