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arXiv · 2102.08616

Conserving Lattice Gauge Theory for Finite Systems

Alexander Rothkopf
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Abstract

In this study I develop a novel action for lattice gauge theory for finite systems, which accommodates non-periodic boundary conditions, implements the proper integral form of Gauss' law and exhibits an inherently symmetric energy momentum tensor, all while realizing automatic ${\cal O}(a)$ improvement. Taking the modern summation-by-parts formulation for finite differences as starting point and combining it with insight from the finite volume strategies of computational electrodynamics I show how the concept of a conserving discretization can be realized for non-Abelian lattice gauge theory. Major steps in the derivation are illustrated using Abelian gauge theory as example.

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BibTeXRIS

Alexander Rothkopf. 2021-02-17. Conserving Lattice Gauge Theory for Finite Systems. https://arxiv.org/abs/2102.08616

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