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Real-time dynamics of Chern-Simons fluctuations near a critical point
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abstract
The real-time topological susceptibility is studied in $(1+1)$-dimensional massive Schwinger model with a $\theta$-term. We evaluate the real-time correlation function of electric field that represents the topological Chern-Pontryagin number density in $(1+1)$ dimensions. Near the parity-breaking critical point located at $\theta=\pi$ and fermion mass $m$ to coupling $g$ ratio of $m/g \approx 0.33$, we observe a sharp maximum in the topological susceptibility. We interpret this maximum in terms of the growth of critical fluctuations near the critical point, and draw analogies between the massive Schwinger model, QCD near the critical point, and ferroelectrics near the Curie point.
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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Quantum thermalization of Quark-Gluon Plasma
In a 1+1D Schwinger model, strong-coupling quark Wigner functions thermalize to quantum statistical averages, while weak-coupling scalar and axial components do not because of many-body scars, and the θ-vacuum angle c...
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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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