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arXiv 1008.4409hep-phnucl-th
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关于强CP-违背Lagrange算子的注记

Remarks on Strong CP-Violating Lagrangians

Hai-Yang Cheng

摘要:

由于对真空排列的不同处理,Di Vecchia,Veneziano和Witten(DVW)在30年前得到的强CP破坏拉格朗日量与Baluni在夸克或强子水平上得到的结果看起来不太一样。我们表明,它们是相互一致的,并强调,在DVW方法,$θG\tilde G$项并没有完全删除后,真空从CP-奇态旋转到CP-偶一个强CP破坏不仅存在于夸克质量项,而且在剩余的拓扑扇区。虽然后者依赖于大申定理,后者是基于最小化的一个潜在的能量相对于相位的夸克凝聚。与某些说法相反,对于由Baluni型拉格朗日量引起的强CP奇效应,有必要包括SU(3)单线态$η_0$蝌蚪的贡献,以确保强CP破坏在零轴向异常极限处消失。

英文摘要:

Owing to a different treatment of the vacuum alignment, the strong CP-violating Lagrangian obtained by Di Vecchia, Veneziano and Witten (DVW) 3 decades ago do not look quite the same as the one originally derived by Baluni at the quark or hadron level. We show that they are consistent with each other and emphasize that, within the DVW approach, the $θG\tilde G$ term is not entirely removed away after the vacuum is rotated from the CP-odd state to the CP-even one; strong CP violation resides not only in the quark mass terms but also in the residual topological sector. While the latter relies on the Dashen's theorem, the latter is based on the minimization of a potential energy with respect to the phase of the quark condensate. Contrary to some claims, it is necessary to include the SU(3)-singlet $η_0$ tadpole contribution for strong CP-odd effects induced by the Baluni-type Lagrangian to ensure that strong CP violation vanishes in the zero axial anomaly limit.

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