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arXiv 0911.0341hep-th
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关于可约规范理论真Action存在性的注记

Remarks on Existence of Proper Action for Reducible Gauge Theories

Igor A. Batalin, Klaus Bering

摘要:

在场-反场形式主义中,我们回顾了在可约情形下适当作用的存在性和唯一性证明。我们给出了两个新的存在性证明基于两个分解度分别称为“约化反域数”和“移位反域数”。特别是,我们表明,对于每一个选择的规范生成器和他们的更高阶段的同行,存在一个适当的行动,实现他们在二次阶的辅助变量。

英文摘要:

In the field-antifield formalism, we review existence and uniqueness proofs for the proper action in the reducible case. We give two new existence proofs based on two resolution degrees called "reduced antifield number" and "shifted antifield number", respectively. In particular, we show that for every choice of gauge generators and their higher stage counterparts, there exists a proper action that implements them at the quadratic order in the auxiliary variables.

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