Monday, December 10, 2012

1212.1533 (Mitsuhiro Kato et al.)

Leibniz rule, locality and supersymmetry on lattice    [PDF]

Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
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.
View original: http://arxiv.org/abs/1212.1533

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