费米子双线性类矢量理论的宇称实现
Parity realization in Vector-like theories from Fermion Bilinears
摘要：
我们在本文中重新考虑了旧的目标，试图了解，如果观察到的实现离散对称性的宇称或CP在QCD真空可以满足第一性原理。我们证明了在Vafa和Witten在他们关于类矢量理论中宇称实现的旧论文中隐含的适当假设下，所有由费米子双线性构造的$\barψ\tilde Oψ$形式的宇称和CP奇算子在具有N个简并味的类矢量理论中（N>1）应该取一个消失的真空期望值。在我们的分析中，Vafa-Witten定理在类向量理论中关于味对称性不可能自发破缺的问题上起着重要的作用。
英文摘要：
We reconsider in this paper the old aim of trying to understand if the observed realization of discrete symmetries as Parity or CP in the QCD vacuum can be satisfied from first principles. We show how under the appropriate assumptions implicitely done by Vafa and Witten in their old paper on parity realization in vector-like theories, all parity and CP odd operators constructed from fermion bilinears of the form $\barψ\tilde Oψ$ should take a vanishing vacuum expectation value in a vector-like theory with N degenerate flavours (N>1). In our analysis the Vafa-Witten theorem on the impossibility to break spontaneously the flavour symmetry in a vector-like theory plays a fundamental role.
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