Leibniz rule, locality and supersymmetry on lattice
High Energy Physics - Lattice
2012-12-10 v1 High Energy Physics - Theory
Abstract
In a finite volume system, we prove a no-go theorem on a Leibniz rule with a care of locality argument on latttice. The new possibility on the Leibniz rule solutions on lattice is discussed. Although the new solution admits a local difference operator, a non-local product rule is needed. In the case, a supersymmetric interacting theory is simply realized. The difference between finite flavor systems and matrix representations of infinite flavor systems is explained based on a finite volume system analysis including the no-go theorem.
Keywords
Cite
@article{arxiv.1212.1533,
title = {Leibniz rule, locality and supersymmetry on lattice},
author = {Mitsuhiro Kato and Makoto Sakamoto and Hiroto So},
journal= {arXiv preprint arXiv:1212.1533},
year = {2012}
}
Comments
Contribution to the proceedings of Lattice 2012, June 24-29, Cairns, Australia. 7 pages