
Nonrenormalization theorem in a lattice supersymmetric theory and the cyclic Leibniz ruleNonrenormalization theorem in a lattice supersymmetric theory and the cyclic Leibniz rule 
"/Kato, Mitsuhiro/"Kato, Mitsuhiro ,
"/Sakamoto, Makoto/"Sakamoto, Makoto ,
"/So, Hiroto/"So, Hiroto
4p.043B09 , 201704 , Oxford University Press (OUP)
ISSN:2050391120503911
Description
The N = 4 supersymmetric quantum mechanical model is formulated on the lattice. Two supercharges, among four, are exactly conserved with the help of the cyclic Leibniz rule without spoiling the locality. In using the cohomological argument, any possible local terms of the effective action are classified into two categories that we call typeI and typeII, analogous to the D and Fterms in the supersymmetric field theories. We prove a nonrenormalization theorem on the typeII terms, which include mass and interaction terms keeping a lattice constant finite, while typeI terms such as the kinetic terms have nontrivial quantum corrections.
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