Chern-Simons five-form and holographic baryons
Chern-Simons five-form and holographic baryons
复制标题
陈-西蒙斯五型和全息重子
DOI：
10.1103/physrevd.95.126007
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Shigeki Sugimoto
中科院分区：
文献类型：
--
作者：
Pak Hang Chris Lau;Shigeki Sugimoto
在基于IIA型弦理论中D4/D8膜的QCD自顶向下全息模型和一些自底向上模型中，介子的低能有效理论是在具有两个边界的弯曲背景下用五维Yang-Mills-Chern-Simons理论描述的。在四维无质量QCD中，五维Chern-Simons项在再现正确的手征反常中起着至关重要的作用。然而，在拓扑非平凡规范束的情况下，包括重子的组态，Chern-Simons项的定义有一些微妙的歧义。特别地，对于具有三种味道的情况，Hata和Murata指出，朴素的Chern-Simons项不会导致对重子谱的重要约束，这是挑选出自然界中观察到的正确重子谱所必需的。本文提出了一个定义良好的Chern-Simons项的公式，它可以用于重子的情况，并表明它恢复了正确的重子约束以及QCD中的手征反常。
In the top-down holographic model of QCD based on D4/D8-branes in type IIA string theory and some of the bottom-up models, the low energy effective theory of mesons is described by a five-dimensional Yang-Mills-Chern-Simons theory in a certain curved background with two boundaries. The five-dimensional Chern-Simons term plays a crucial role in reproducing the correct chiral anomaly in four-dimensional massless QCD. However, there are some subtle ambiguities in the definition of the Chern-Simons term for the cases with topologically nontrivial gauge bundles, which include the configurations with baryons. In particular, for the cases with three flavors, it was pointed out by Hata and Murata that the naive Chern-Simons term does not lead to an important constraint on the baryon spectrum, which is needed to pick out the correct baryon spectrum observed in nature. In this paper, we propose a formulation of a well-defined Chern-Simons term which can be used for the cases with baryons, and show that it recovers the correct baryon constraint as well as the chiral anomaly in QCD.