Dirac operators coupled to vector potentials.

Dirac operators coupled to vector potentials.
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DOI:
10.1073/pnas.81.8.2597
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发表时间:
1984-04
影响因子:
11.1
通讯作者:
M. Atiyah;I. Singer
M. Atiyah;I. Singer
中科院分区:
综合性期刊1区
文献类型:
--
作者:
M. Atiyah;I. Singer

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狄拉克族[unk](A)的指数的特征类是根据规范变换下向量势轨道空间上的微分形式计算的。它们代表了一个协变狄拉克传播子存在的障碍。第一个障碍与手性异常有关。
Characteristic classes for the index of the Dirac family [unk](A) are computed in terms of differential forms on the orbit space of vector potentials under gauge transformations. They represent obstructions to the existence of a covariant Dirac propagator. The first obstruction is related to a chiral anomaly.