Leibniz rule and exact supersymmetry on lattice: a case of supersymmetrical quantum mechanics

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We propose a new formulation of lattice theory. It is given by a matrix form and suitable for satisfying Leibniz rule on lattice. The theory may be interpreted as a multi-flavor system. By realizing the difference operator as a commutator, we may obtain exact supersymmetric theories on lattice explicitly. Some problems such as locality and single flavor reduction are also commented.
6 pages, Talk presented at Lattice 2005 (Theoretical Developments)

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