Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$

Abstract

In this paper, we investigate a digitised SU$(2)$ lattice gauge theory in the Hamiltonian formalism. We use partitionings to digitise the gauge degrees of freedom and show how to define a penalty term based on finite element methods to project onto physical states of the system. Moreover, we show for a single plaquette system that in this framework the limit $g\to 0$ can be approached at constant cost.

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Cited by in corpus (3)

• Renormalized dual basis for scalable simulations of 2+1D compact quantum electrodynamics
• Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
• Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model