Mathematical remarks on the cohomology of gauge groups and anomalies
Mathematical remarks on the cohomology of gauge groups and anomalies
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关于规范群和反常的上同调的数学注释
DOI：
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
M. Murray
中科院分区：
文献类型：
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作者：
A. Carey;M. Murray
异常可以被视为由规范变换群的李代数的上同调以及模规范变换群的拓扑上同调引起。我们展示了如何通过海侵图统一这两种方法。我们使用最近的 gerbe 概念讨论当前换向器异常和 Faddeev-Mickelsson 异常背后的几何形状。一些异常（特别是 3-cocycles）没有这样的几何原点。我们讨论一个例子和一个关于这些可能如何与几何异常相关的猜想。
Anomalies can be viewed as arising from the cohomology of the Lie algebra of the group of gauge transformations and also from the topological cohomology of the group of connections modulo gauge transformations. We show how these two approaches are unified by the transgression map. We discuss the geometry behind the current commutator anomaly and the Faddeev- Mickelsson anomaly using the recent notion of a gerbe. Some anomalies (notably 3-cocycles) do not have such a geometric origin. We discuss one example and a conjecture on how these may be related to geometric anomalies.