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

Jakobs, Timo, Garofalo, Marco, Hartung, Tobias, Jansen, Karl, Ostmeyer, Johann, Romiti, Simone and Urbach, Carsten (2025) Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU(2). European Physical Journal C. ISSN 1434-6052 (In Press)

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 → 0 can be approached at constant cost.

Actions (login required)

Edit Item Edit Item