Non-renormalization theorem in a lattice supersymmetric theory and the cyclic Leibniz rule
Non-renormalization theorem in a lattice supersymmetric theory and the cyclic Leibniz rule
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格子超对称理论中的非重整化定理和循环莱布尼兹规则
DOI：
10.1093/ptep/ptx045
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发表时间：
2017
影响因子：
3.5
通讯作者：
So Hiroto
中科院分区：
文献类型：
--
作者：
Kato Mitsuhiro;Sakamoto Makoto;So Hiroto
在格点上建立了量子力学的对称模型。在四个超荷中，有两个在循环莱布尼茨规则的帮助下是完全守恒的，而不会破坏局部性。在使用上同调论证时，有效作用量的任何可能的局部项都被分为两类，我们称之为I型和II型，类似于超对称场论中的D项和F项。我们证明了一个非重整化定理的类型II项，其中包括质量和相互作用项保持晶格常数有限，而类型I项，如动力学项有非平凡的量子校正。
Thesupersymmetric 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 type-I and type-II, analogous to the D- and F-terms in the supersymmetric field theories. We prove a non-renormalization theorem on the type-II terms, which include mass and interaction terms keeping a lattice constant finite, while type-I terms such as the kinetic terms have non-trivial quantum corrections.