arXiv 0810.35472008-10-20hep-lat

格点上Ginsparg-Wilson关系的推广和超对称性的余项

Generalisations of the Ginsparg-Wilson relation and a remnant of supersymmetry on the lattice

Georg Bergner, Falk Bruckmann, Jan M. Pawlowski

备注：: 7 pages; talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19 2008, Williamsburg, Virginia, USA
发表信息：: PoS LATTICE2008:230,2008

摘要：

本文对具有一般线性对称性的场论引入了一个格对称关系。对于手征对称性，我们再现了著名的Ginsparg-Wilson关系。新的关系编码的原始对称性的残余的晶格和指导建设不变的晶格行动。我们将这种方法应用于晶格超对称性。在那里，一个额外的约束必须得到满足，这起源于对称变换中的导数算子。因此，非局部SLAC导数算子出现在格变换中。尽管这种非本地形式，我们展示了如何本地解决方案的二次actions.For相互作用理论的关系一般导致一个非多项式的行动，可以减少到有限的多项式阶只有在一定的条件下。

英文摘要：

We introduce a lattice symmetry relation for field theories with general linear symmetries. For chiral symmetry the well-known Ginsparg-Wilson relation is reproduced. The new relation encodes the remnant of the original symmetry on the lattice and guides the construction of invariant lattice actions. We apply this approach to lattice supersymmetry. There, an additional constraint has to be satisfied which originates in the derivative operator in the symmetry transformations. As a consequence the non-local SLAC derivative operator appears in the lattice transformation. Despite this non-local form we show how local solutions for quadratic actions can be found. For interacting theories the relation in general leads to a non-polynomial action that can be reduced to a finite polynomial order only under certain conditions.

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摘要：

英文摘要：

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