Exact symmetries realized on the renormalization group flow
Exact symmetries realized on the renormalization group flow
复制标题
在重整化群流上实现精确对称
DOI：
10.1016/s0370-2693(00)00305-1
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发表时间：
1999
影响因子：
4.4
通讯作者：
H. So
中科院分区：
文献类型：
--
作者：
Y. Igarashi;K. Itoh;H. So
我们发现，对称性保持正好沿着（威尔逊）重整化群流，虽然IR截止变形的具体形式的变换。对于规范理论，截断相关的沃德-高桥恒等式被写成反场形式中的主方程：人们可以从主方程中读出重整化的BRS变换。麦克斯韦理论是明确研究，看看它是如何工作的。重整化BRS变换变得非局部，但保持离壳幂零性。我们的形式是适用于一个通用的全球对称性。考虑手征对称性的主方程为我们提供了Ginsparg-Wilson关系和Lüscher对称性的连续模拟。
We show that symmetries are preserved exactly along the (Wilsonian) renormalization group flow, though the IR cutoff deforms concrete forms of the transformations. For a gauge theory the cutoff dependent Ward–Takahashi identity is written as the master equation in the antifield formalism: one may read off the renormalized BRS transformation from the master equation. The Maxwell theory is studied explicitly to see how it works. The renormalized BRS transformation becomes non-local but keeps off-shell nilpotency. Our formalism is applicable for a generic global symmetry. The master equation considered for the chiral symmetry provides us with the continuum analog of the Ginsparg–Wilson relation and the Lüscher's symmetry.