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Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks

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arxiv 2011.10658 v2 pith:3NPAZNAQ submitted 2020-11-18 hep-lat cond-mat.stat-mechcond-mat.str-elhep-thquant-ph

classification hep-latcond-mat.stat-mechcond-mat.str-elhep-thquant-ph
keywords finitegaugecharacterizationchargedensityeffectselectrodynamicsfundamental
verification ladder T0 review T1 audit T2 compute T3 formal
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Gauge theories are of paramount importance in our understanding of fundamental constituents of matter and their interactions. However, the complete characterization of their phase diagrams and the full understanding of non-perturbative effects are still debated, especially at finite charge density, mostly due to the sign-problem affecting Monte Carlo numerical simulations. Here, we report the Tensor Network simulation of a three dimensional lattice gauge theory in the Hamiltonian formulation including dynamical matter: Using this sign-problem-free method, we simulate the ground states of a compact Quantum Electrodynamics at zero and finite charge densities, and address fundamental questions such as the characterization of collective phases of the model, the presence of a confining phase at large gauge coupling, and the study of charge-screening effects.

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Cited by 4 Pith papers

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  1. Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional $\mathbb{Z}_N$ lattice gauge theory

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    quant-ph 2025-05 conditional novelty 6.0 of 10

    On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.

  4. Roughening and dynamics of an electric flux string in a (2+1)D lattice gauge theory

    hep-lat 2025-05 conditional novelty 5.0 of 10

    Numerical MPS simulations confirm static roughening signatures in a 2+1D Z2 gauge theory and show that after a local quench the entanglement entropy grows linearly in the roughening region, consistent with a massless ...

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