论文标题
$ u（3）$手性理论中的轻型味共振动力
Light-flavor resonance dynamics in the $U(3)$ chiral theory
论文作者
论文摘要
我们回顾了有关$ U（3）$ HAIRAL有效提交理论的最新进展。光谱函数总和规则和散射中的半二元性（将是本注的重点）可以为我们提供有趣且有用的理论对象，以弥合中间能量区域中的强子共振和渐近区域中的QCD行为。首先，详细阐述了介子膜散射幅度和因子因子的计算。然后根据单位化标量形式计算标量光谱函数。我们研究中的标量和伪级光谱函数总和规则与手性极限中QCD的渐近行为一致。人们发现，半局部二元性通常很满足，表明确实发生了不同共振的必要取消，确实发生在散射幅度中。共振电线杆的$ N_C $进化，量化半偏双重性和光谱函数积分的比率也特别关注本注释。
We review the recent developments on the light-flavor resonances in the $U(3)$ chiral effective filed theory. The spectral function sum rules and the semilocal duality in the scattering, which will be focus of this note, can provide us interesting and useful theoretical objects to bridge the hadron resonances in the intermediate energy region and the QCD behaviors in the asymptotic region. First the calculations of the meson-meson scattering amplitudes and factor factors are elaborated. The scalar spectral functions are then calculated in terms of the unitarized scalar form factors. The scalar and pseudoscalar spectral function sum rules in our study are found to be consistent with the asymptotic behavior of QCD in the chiral limit. The semilocal duality is found to be generally well satisfied, indicating the necessary cancellations of different contributions from different resonances indeed happen in the scattering amplitudes. The $N_C$ evolutions of the resonance poles, the ratios to quantify the semilocal duality and the spectral function integrals are also paid special attention to in this note.
