English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We test a possible digitization of $\mathrm{SU}(2)$ lattice gauge theoriesbased on partitionings of the sphere $S_3$. In our construction the linkoperators are unitary and diagonal, with eigenvalues determined by the verticesof the partitioning. The canonical momenta are finite difference operatorsapproximating the Lie derivatives on the manifold. In this formalism weimplement the standard Wilson Hamiltonian. We show results for a 2-siteSchwinger-type model in 1D and a single-plaquette system in 2D. Ourcalculations are performed on a classical computer, though in principle theycan be implemented also on a quantum device.

Testing the $\mathrm{SU}(2)$ lattice Hamiltonian built from $S_3$ partitionings