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Lattice quantum electrodynamics in (3+1)-dimensions at finite density with tensor networks

Author

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  • Giuseppe Magnifico

    (Università di Padova
    Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova)

  • Timo Felser

    (Università di Padova
    Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova
    Universität des Saarlandes)

  • Pietro Silvi

    (University of Innsbruck
    Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences)

  • Simone Montangero

    (Università di Padova
    Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova)

Abstract

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.

Suggested Citation

  • Giuseppe Magnifico & Timo Felser & Pietro Silvi & Simone Montangero, 2021. "Lattice quantum electrodynamics in (3+1)-dimensions at finite density with tensor networks," Nature Communications, Nature, vol. 12(1), pages 1-13, December.
    • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-23646-3
    DOI: 10.1038/s41467-021-23646-3
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