论文标题
激气对称性断裂和黑体光谱法的影响
Instanton effects on chiral symmetry breaking and hadron spectroscopy
论文作者
论文摘要
该项目旨在通过实验来提供指示，以在QCD中找到单极和激体效应。首先，我们将单极和抗单键孔添加到淬灭的SU（3）的QCD真空中，并使用保留精确手性对称性的重叠DIRAC操作员的特征值和特征向量来计算物理可观察物。我们发现，额外的单极和抗单键器使长的单极环与夸克限制密切相关，而无需改变真空结构。此外，我们已经证实了额外的单极和抗单键孔产生激体和抗互联剂与手性对称性的破坏密切相关。我们已经表明，手性冷凝物（减值）与激气量和抗Instantons的数量密度的平方根直接减少。腐烂常数和质子的质量直接增加与激体和抗Instantons的数量密度的四分之一根。该报告使用这些结果作为输入值估算了ETA梅森质量，ETA-PRIME梅森质量以两种方式计算：（i）替代拓扑电荷的数值结果，并将Pion Decay decay常数替换为Witten和Veneziano质量公式。 （ii）计算断开（发夹）图的相关性。 ETA-PRIME梅森质量在淬灭的SU（3）中估计的初步结果如下。 （i）m $ _ {η'} $ = 1.055（15）$ \ times10^{3} $ [mev]（在连续限制下）。 （ii）m $ _ {η'} $ = 1.04（2）$ \ times10^{3} $ [mev]（在手性和连续限制下）。最后，我们证明了ETA-PRIME介子质量随着instantons和Anti-Instantons的数量密度的增加而变得沉重。
This project aims to give indications to find monopole and instanton effects in QCD on the observables by experiments. First, we add the monopole and anti-monopole to the QCD vacuum of the quenched SU(3) and calculate the physical observables using the eigenvalues and eigenvectors of the overlap Dirac operator that preserves the exact chiral symmetry. We have found that the additional monopole and anti-monopole make the long monopole loops are closely related to the quark confinement without changing the vacuum structure. Furthermore, we have confirmed that the additional monopole and anti-monopole create instantons and anti-instantons are closely associated with the chiral symmetry breaking. We have shown that the chiral condensate (minus value) decreases in direct proportion to the square root of the number density of the instantons and anti-instantons. The decay constants and masses of pion and kaon increase in direct proportion to the one-fourth root of the number density of the instantons and anti-instantons. This report estimates the eta meson mass using these outcomes as the input values, and the eta-prime meson mass is calculated in two ways: (i) Substituting the numerical results of the topological charge and pion decay constant to the Witten and Veneziano mass formula. (ii) Calculating the correlations of the disconnected (hairpin) graphs. The preliminary results of the eta-prime meson mass estimated in the quenched SU(3) are as follows. (i) m$_{η'}$ = 1.055(15)$\times10^{3}$ [MeV] (at the continuum limit). (ii) m$_{η'}$ = 1.04(2)$\times10^{3}$ [MeV] (at the chiral and continuum limits). Finally, we demonstrate that the eta-prime meson mass becomes heavy with increasing the number density of the instantons and anti-instantons.
