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

• URL: http://arxiv.org/abs/2011.10658v2
• Date: Wed, 23 Jun 2021 13:38:11 GMT
• Title: Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
• Authors: Giuseppe Magnifico, Timo Felser, Pietro Silvi, Simone Montangero
• Abstract summary: We report the simulation of a three dimensional lattice gauge theory in the Hamiltonian formulation including matter. Using this sign-problem-free method, we simulate the ground states of a compact Quantum Electrodynamics at zero and finite charge densities. We 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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