Simplicial gauge theory on spacetime

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 towa...

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Veröffentlicht in:arXiv.org 2011-07
Hauptverfasser: Halvorsen, Tore Gunnar, Torquil Macdonald Sørensen
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1107.1420