Locality of staggered overlap operators
Nuha Chreim, Christian Hoelbling, Christian Zielinski
TL;DR
This paper provides a rigorous proof of the locality property of staggered overlap operators, including both two-flavor and single-flavor versions, under certain gauge field conditions.
Contribution
It offers the first explicit proof of locality for staggered overlap operators, extending previous results to multiple flavor constructions.
Findings
Proof of locality for two-flavor staggered overlap operators
Proof of locality for single-flavor staggered overlap operators
Identification of gauge field admissibility conditions
Abstract
We give an explicit proof for the locality of staggered overlap operators. The proof covers the original two flavor construction by Adams as well as a single flavor version. As in the case of Neuberger's operator, an admissibility condition for the gauge fields is required.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Operator Algebra Research · Stability and Controllability of Differential Equations