论文标题
外部磁场中的单孔，重叠费米子的光谱和ETA-PRIME介子
Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields
论文作者
论文摘要
通过进行晶状体QCD模拟检查了外部磁场对单极，重叠式操作员，激体光谱，激体光谱和ETA-PRIME介子质量的影响。均匀的外部磁场应用于$ n_ {f} $ = 2 + 1风味夸克。调整裸夸克的质量是为了获得Pion质量的物理值和比率$ \ frac {m_ {s}}} {m_ {u，d}} $。具有应用外部磁场的标准配置和配置是在颜色限制和反登录阶段生成的。外部磁场的强度从$ e | b | $ = 0.57到1.14 [GEV $^{2} $]。为了检查外部磁场对单极的影响，我们首先计算单极密度，测量单极环的长度，并将它们与Polyakov环的绝对值进行比较。接下来，使用生成的配置，我们计算重叠狄拉克运算符的特征值和特征向量，从而保留精确的手性对称性。为了研究外部磁场如何影响重叠狄拉克操作员的光谱，我们计算光谱密度，比较重叠迪拉克运算符的特征值的波动与随机矩阵理论的预测，并估计激气量的速度数量，并从拓扑信号中估算了激体元的数量。此外，我们分析了对这些可观察物和手性对称性破坏的涂抹效果。最后，我们使用特征值和特征向量计算了伪级介子，手性冷凝物和ETA PRIME介子的平方质量的衰减常数。然后，我们在手性极限中推断了数值结果，并证明了外部磁场对外推结果的影响。本文提出了初步结果。
The effects of external magnetic fields on monopoles, spectra of the overlap Dirac operator, instantons, and the mass of the eta-prime meson are examined by conducting lattice QCD simulations. The uniform external magnetic fields are applied to gauge field configurations with $N_{f}$ = 2 + 1 flavor quarks. The bare quark masses are tuned in order to obtain the physical values of the pion mass and of the ratio $\frac{m_{s}}{m_{u, d}}$. Standard configurations and configurations with applied external magnetic fields are generated in the color confinement and deconfinement phases. The intensity of external magnetic fields varies from $e|B|$ = 0.57 to 1.14 [GeV$^{2}$]. To examine the influence of external magnetic fields on monopoles, we first calculate the monopole density, measure the lengths of the monopole loops and compare them with the absolute value of the Polyakov loops. Next, using the generated configurations, we compute the eigenvalues and eigenvectors of the overlap Dirac operator, which preserves exact chiral symmetry. To investigate how external magnetic fields affect the spectra of the overlap Dirac operator, we compute spectral densities, compare fluctuations of the eigenvalues of the overlap Dirac operator with the predictions of random matrix theory, and estimate the number of instantons and anti-instantons from the topological charges. In addition, we analyze smearing effects on these observables and chiral symmetry breaking. Finally, we calculate the decay constant of the pseudoscalar meson, the chiral condensate, and the square mass of the eta-prime meson using the eigenvalues and eigenvectors. We then extrapolate the numerical results in the chiral limit and demonstrate the effects of external magnetic fields on the extrapolation results. This article presents preliminary results.
