晶格超对称中作为超多重态伙伴的种加倍子
Species Doublers as Super Multiplet Partners in Lattice Supersymmetry
摘要：
我们提出了一个新的格点超场形式主义的动量表示，它容纳的物种加倍的格点费米子和他们的玻色子对应的超多重态。我们明确地证明了对于所有具有晶格动量的超荷，具有相互作用的一维$N=2$模型在晶格上具有精确的超对称性。在坐标表示中，通过引入一种非局部积--“星”积，使有限差分算子满足Leibnitz规则，从而实现了精确的晶格超对称性。超对称沃德恒等式被证明在一个循环水平上得到满足。
英文摘要：
We propose a new lattice superfield formalism in momentum representation which accommodates species doublers of the lattice fermions and their bosonic counterparts as super multiplets. We explicitly show that one dimensional $N=2$ model with interactions has exact supersymmetry on the lattice for all super charges with lattice momentum. In coordinate representation the finite difference operator is made to satisfy Leibnitz rule by introducing a non local product, the "star" product, and the exact lattice supersymmetry is realized. Supersymmetric Ward identities are shown to be satisfied at one loop level.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
