Taming the Leibniz Rule on the Lattice

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dc.creatorKato, Mitsuhiro
dc.creatorSakamoto, Makoto
dc.creatorSo, Hiroto
dc.date2008-03-21
dc.date2008-05-01
dc.date.accessioned2026-07-07T11:49:16Z
dc.date.available2026-07-07T11:49:16Z
dc.descriptionWe study a product rule and a difference operator equipped with Leibniz rule in a general framework of lattice field theory. It is shown that the difference operator can be determined by the product rule and some initial data through the Leibniz rule. This observation leads to a no-go theorem that it is impossible to construct any difference operator and product rule on a lattice with the properties of (i) translation invariance, (ii) locality and (iii) Leibniz rule. We present a formalism to overcome the difficulty by an infinite flavor extension or a matrix expression of a lattice field theory.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0803.3121
dc.identifierhttp://arxiv.org/abs/0803.3121
dc.identifierJHEP0805:057,2008
dc.identifierdoi:10.1088/1126-6708/2008/05/057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203175
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleTaming the Leibniz Rule on the Lattice
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