Simplicial gauge theory on spacetime
Tore Gunnar Halvorsen, Torquil Macdonald S{\o}rensen
TL;DR
This paper introduces a discrete, gauge-invariant Yang-Mills-Higgs action on spacetime meshes, generalizing lattice gauge theory, with proven consistency and numerical convergence tests towards continuum results.
Contribution
It presents a novel formulation of gauge theory on simplicial meshes, extending classical lattice gauge theory with proven approximation consistency.
Findings
Numerical tests show convergence to continuum results.
The formulation is gauge-invariant and consistent.
Applicable to various gauge field configurations.
Abstract
We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the sense of approximation theory. In addition, we perform numerical tests of convergence towards exact continuum results for several choices of gauge fields in pure gauge theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.