从量规不变BEH机制看量规不变胶子质量的杨-米尔斯理论中的夸克约束

A. Shibata, K. Kondo, Ryutaro Matsudo, Shogo Nishino
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引用次数: 2

摘要

为了阐明具有质量间隙的Yang-Mills理论中夸克约束的机制,我们提出研究具有“一个标准不变胶子质量项”的质量Yang-Mills模型,即在一个合适的约束条件下,由一个具有单一径向固定标量场的特定标准标量模型推导出的具有“一个标准不变胶子质量项”的Yang-Mills理论。胶子质量项模拟了Yang-Mills理论的低能有效理论中需要提取的动态生成的质量,为研究胶子的相结构和约束机制提供了新的探针。在这次演讲中,我们首先通过对Brout-Englert-Higgs机制的不依赖于规范对称的自发破断的与规范无关的描述来解释为什么这样一个规范-标量模型是在不破坏规范对称的情况下构建的。然后讨论了如何在考虑格上的互补规范-标量模型的约简条件下对所提出的大质量Yang-Mills理论进行数值模拟。利用重加权方法,我们研究了胶子质量项对威尔逊环(静态势)和动态生成质量的影响。此外,我们指出伴随情况将为Yang-Mills场的规范协变分解(称为Cho-Duan-Ge-Faddeev-Niemi分解)的物理意义提供另一种理解,而基本情况将给出迄今为止被忽视的新分解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quark confinement in the Yang-Mills theory with a gauge-invariant gluon mass in view of the gauge-invariant BEH mechanism
In order to clarify the mechanism of quark confinement in the Yang-Mills theory with mass gap, we propose to investigate the massive Yang-Mills model, namely, Yang-Mills theory with ``a gauge-invariant gluon mass term'', which is to be deduced from a specific gauge-scalar model with a single radially-fixed scalar field under a suitable constraint called the reduction condition. The gluon mass term simulates the dynamically generated mass to be extracted in the low-energy effective theory of the Yang-Mills theory and plays the role of a new probe to study the phase structure and confinement mechanism. In this talk, we first explain why such a gauge-scalar model is constructed without breaking the gauge symmetry through the gauge-independent description of the Brout-Englert-Higgs mechanism which does not rely on the spontaneous breaking of gauge symmetry. Then we discuss how the numerical simulations for the proposed massive Yang-Mills theory can be performed by taking into account the reduction condition in the complementary gauge-scalar model on a lattice. By using the reweighting method, we have investigated the effect of the gluon mass term to the Wilson loop (the static potential) and the dynamically generated mass. Moreover, we point out that the adjoint case would gives an alternative understanding for the physical meaning of the gauge-covariant decomposition for the Yang-Mills field known as the Cho-Duan-Ge-Faddeev-Niemi decomposition, while the fundamental case would give a novel decomposition which has been overlooked so far.
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