A simplicial gauge theory
Numerical Analysis
2013-06-24 v4 High Energy Physics - Lattice
Mathematical Physics
Analysis of PDEs
Differential Geometry
math.MP
Abstract
We provide an action for gauge theories discretized on simplicial meshes, inspired by finite element methods. The action is discretely gauge invariant and we give a proof of consistency. A discrete Noether's theorem that can be applied to our setting, is also proved.
Cite
@article{arxiv.1006.2059,
title = {A simplicial gauge theory},
author = {Snorre Harald Christiansen and Tore Gunnar Halvorsen},
journal= {arXiv preprint arXiv:1006.2059},
year = {2013}
}
Comments
24 pages. v2: New version includes a longer introduction and a discrete Noether's theorem. v3: Section 4 on Noether's theorem has been expanded with Proposition 8, section 2 has been expanded with a paragraph on standard LGT. v4: Thorough revision with new introduction and more background material