Collective motion in the massive Schwinger model via Tensor Network

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Hauptverfasser: Shao, Haiyang, Chen, Shile, Shi, Shuzhe
Format: Preprint
Veröffentlicht: 2025
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author Shao, Haiyang
Chen, Shile
Shi, Shuzhe
author_facet Shao, Haiyang
Chen, Shile
Shi, Shuzhe
contents We simulate the real-time dynamics of a massive Schwinger model using the Time-Evolving Block Decimation tensor network algorithm. Starting from a non-equilibrium initial state with localized energy excitation on top of vacuum, we track the subsequent evolution to investigate two distinct physical phenomena. First, by analyzing the system's energy-momentum tensor, we show that this system exhibits hydrodynamic behavior analogous to Bjorken flow at large coupling-to-mass ratio, a signature that diminishes as the coupling weakens, or mass increases. Second, by examining the evolution of the electric field and charge density, we observe the signal of spontaneous parity symmetry breaking phase transition in a dynamical system. The parity-restored regime is marked by ''string breaking'' and efficient charge screening, while the parity-broken regime displays stable propagation of nearly free charges and persistent electric fields connecting them.
format Preprint
id arxiv_https___arxiv_org_abs_2509_10835
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Collective motion in the massive Schwinger model via Tensor Network
Shao, Haiyang
Chen, Shile
Shi, Shuzhe
High Energy Physics - Phenomenology
High Energy Physics - Lattice
Nuclear Theory
We simulate the real-time dynamics of a massive Schwinger model using the Time-Evolving Block Decimation tensor network algorithm. Starting from a non-equilibrium initial state with localized energy excitation on top of vacuum, we track the subsequent evolution to investigate two distinct physical phenomena. First, by analyzing the system's energy-momentum tensor, we show that this system exhibits hydrodynamic behavior analogous to Bjorken flow at large coupling-to-mass ratio, a signature that diminishes as the coupling weakens, or mass increases. Second, by examining the evolution of the electric field and charge density, we observe the signal of spontaneous parity symmetry breaking phase transition in a dynamical system. The parity-restored regime is marked by ''string breaking'' and efficient charge screening, while the parity-broken regime displays stable propagation of nearly free charges and persistent electric fields connecting them.
title Collective motion in the massive Schwinger model via Tensor Network
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
Nuclear Theory
url https://arxiv.org/abs/2509.10835