论文标题

颜色限制,手性对称性破坏以及由单极和Instanton Creations引起的催化作用

Color confinement, chiral symmetry breaking, and catalytic effect induced by monopole and instanton creations

论文作者

Hasegawa, Masayasu

论文摘要

我们的研究揭示了单孔,颜色限制,激体和手性对称性破坏之间的关系,这些关系可以通过晶格仪理论的数值计算来检测实验。我们首先通过应用单极创建算子并研究添加的单子载体和抗单泊机对颜色约束的效果,首先在量子染色体动力学(QCD)中添加单极和抗单键器,将其磁性电荷变化为量规场构型(QCD)。其次,我们使用重叠狄拉克运算符的特征值和特征向量揭示了Instantons,Anti-Instantons和可观察物之间的定量关系,它们是使用正常构型以及与其他单脚架和抗单向onopoles的构型计算得出的。最后,我们通过将结果与预测进行比较来确定结果。我们已经发现了催化作用:带电亲旋转的衰减宽度变得更宽,并且它的寿命比实验结果更短,而不是实验结果,它增加了instantons和anti-Instantons的数量密度。但是,使用一个晶格量和晶格间距获得了先前研究的结果。在这项研究中,我们使用各种晶格量和晶格间距的值的各种构型从低温到有限的温度改进了先前的研究。这项研究的主要目的是检查有限晶格量的影响以及离散化对我们先前研究中我们获得的可观察物和定量关系的影响,并在连续限制下获得插值结果。

Our research reveals the relations among monopoles, color confinement, instantons, and chiral symmetry breaking which experiments can detect, by numerical calculations of lattice gauge theory. We first add a monopole and an anti-monopole varying their magnetic charges to the gauge field configurations in the quenched approximation of quantum chromodynamics (QCD), by applying the monopole creation operator and investigate the effects of the added monopoles and anti-monopoles on color confinement. Second, we reveal the quantitative relations among instantons, anti-instantons, and observables using the eigenvalues and eigenvectors of the overlap Dirac operator, which are calculated using the normal configurations and the configurations with the additional monopoles and anti-monopoles. Finally, we ascertain the outcomes by comparing them with the predictions. We have already discovered the catalytic effect: the decay width of the charged pion becomes wider and its lifetime becomes shorter than the experimental outcomes by increasing the number density of instantons and anti-instantons. However, the outcomes in the previous study were obtained using one lattice volume and lattice spacing. In this research, we improve the previous study using a variety of configurations of different lattice volumes and values of the lattice spacing from low to finite temperatures. The main purposes of this study are to inspect the influences of the finite lattice volume and discretization on the observables and quantitative relations that we have obtained in our previous research and to acquire the interpolated results at the continuum limit.

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