Confinement, Chiral Symmetry Breaking and Continuum Limits in Quantum Link Models

Abstract

Using the example of compact U(1) lattice gauge theory we argue that quantum link models can be used to reproduce the physics of conventional Hamiltonian lattice gauge theories. In addition to the usual gauge coupling $g$, these models have a new parameter $j$ which naturally cuts-off large electric flux quanta on each link while preserving exact U(1) gauge invariance. The $j\to \infty$ limit recovers the conventional Hamiltonian. At strong couplings, the theory shows confinement and chiral symmetry breaking for all non-trivial values of $j$. The phase diagram of the 3+1 dimensional theory suggests that a coulomb phase is present at large but finite $j$. Setting $g=0$, a new approach to the physics of compact U(1) gauge theory on the lattice emerges. In this case the parameter $j$ takes over the role of the gauge coupling, and $j\to \infty$ describes free photons.

LATTICE98(spin)

References in corpus (1)

• Chiral Symmetry Breaking on the Lattice: a Study of the Strongly Coupled Lattice Schwinger Model

Cited by in corpus (7)

• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
• Low-Energy Effective Theories of Quantum Link and Quantum Spin Models
• Probing Confinement Through Dynamical Quantum Phase Transitions: From Quantum Spin Models to Lattice Gauge Theories
• Krylov Complexity Meets Confinement
• Monomer-dimer tensor-network basis for qubit-regularized lattice gauge theories
• Nonperturbative signatures of fractons in the twisted multiflavor Schwinger Model