Digitising SU(2) gauge fields and the freezing transition

Hartung, Tobias, Jakobs, Timo, Jansen, Karl, Ostmeyer, Johann ORCID: 0000-0001-7641-8030 and Urbach, Carsten (2022) Digitising SU(2) gauge fields and the freezing transition. EUROPEAN PHYSICAL JOURNAL C, 82 (3). 237-.

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Official URL: http://dx.doi.org/10.1140/epjc/s10052-022-10192-5

Abstract

Efficient discretisations of gauge groups are crucial with the long term perspective of using tensor networks or quantum computers for lattice gauge theory simulations. For any Lie group other than U$(1)$, however, there is no class of asymptotically dense discrete subgroups. Therefore, discretisations limited to subgroups are bound to lead to a freezing of Monte Carlo simulations at weak couplings, necessitating alternative partitionings without a group structure. In this work we provide a comprehensive analysis of this freezing for all discrete subgroups of SU$(2)$ and different classes of asymptotically dense subsets. We find that an appropriate choice of the subset allows unfrozen simulations for arbitrary couplings, though one has to be careful with varying weights of unevenly distributed points. A generalised version of the Fibonacci spiral appears to be particularly efficient and close to optimal.

Item Type:	Article
Uncontrolled Keywords:	hep-lat, hep-lat, physics.comp-ph, quant-ph
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	11 May 2022 13:13
Last Modified:	15 Mar 2024 18:36
DOI:	10.1140/epjc/s10052-022-10192-5
Open Access URL:	https://link.springer.com/article/10.1140/epjc/s10...
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3154622