AI 中文总结
研究量子色动力学全息模型中陈 - 西蒙斯项，利用超联络形式构建快子 - 陈 - 西蒙斯项，分析非零夸克质量下重子解结构，找到重子数相关表达式，还分析了有效四维π介子作用量，重现手征拉格朗日量。
AI 中文摘要
与全局味反常的一致性要求在量子色动力学的全息模型中存在陈 - 西蒙斯项。在全息矢量 - 量子色动力学模型中分析此类项，其中通过复标量场（快子）的凝聚实现手征对称性破缺。利用超联络形式，在一般情况下明确构建快子 - 陈 - 西蒙斯项，此时快子是味空间中的任意复矩阵。此一般情况涵盖不同夸克味具有不同质量等背景。用这些新结果分析非零夸克质量存在时重子解的结构，找到重子数流和总重子数的表达式，表明重子数等于重子解的拓扑瞬子数。分析有效四维π介子作用量并表明其能重现手征拉格朗日量，包括斯凯尔姆项和韦斯 - 祖米诺 - 维滕项。
英文摘要
Consistency with global flavor anomalies requires the presence of Chern-Simons terms in holographic models of QCD. Such terms are analyzed in a setup arising in the holographic V-QCD model, where chiral symmetry breaking is implemented through the condensation of a complex scalar field, the tachyon. Using the superconnection formalism, the Tachyon-Chern-Simons terms are constructed explicitly in the general case, where the tachyon is any complex matrix in flavor space. This general case covers, among other things, backgrounds where different quark flavors have different masses. These new results are used to analyze the structure of the baryon solutions in the presence of nonzero quark masses. Expressions for the baryon number current and the total baryon number are found, and the baryon number is shown to be equal to the topological instanton number of the baryon solution. The effective four-dimensional pion action is analyzed and is shown to reproduce the chiral Lagrangian, including the Skyrme and Wess-Zumino-Witten terms.
Comments67 pages plus appendices, 5 tables, 3 figures
