论文标题
在核子和手性对称性的轴向矢量形状上
On the axial-vector form factor of the nucleon and chiral symmetry
论文作者
论文摘要
我们认为手性拉格朗日是带有核，伊索巴族和茶叶自由度的手性lagrangian。核子的重子质量和轴向矢量形成于单环水平。我们探索在循环表达式中使用壳重子质量的影响。与常规手性扰动理论的结果相比，我们发现了显着差异。提出了QCD晶格数据的应用程序。我们对Baryon质量和核子轴向矢量形式的可用晶格数据集进行全局拟合，并确定Baryon Masses n $^3 $ lo相关的低能常数，而n $^2 $ lo均为型号。考虑了部分有限体积效应。我们指出，在回路中使用壳质量会导致巴里昂质量的非分析行为，而表现因子作为向脉冲质量的功能，这对于比目前使用的晶格量更大。
We consider the chiral Lagrangian with nucleon, isobar, and pion degrees of freedom. The baryon masses and the axial-vector form factor of the nucleon are derived at the one-loop level. We explore the impact of using on-shell baryon masses in the loop expressions. As compared to results from conventional chiral perturbation theory we find significant differences. An application to QCD lattice data is presented. We perform a global fit to the available lattice data sets for the baryon masses and the nucleon axial-vector form factor, and determine the low-energy constants relevant at N$^3$LO for the baryon masses and at N$^2$LO for the form factor. Partial finite-volume effects are considered. We point out that the use of on-shell masses in the loops results in non-analytic behavior of the baryon masses and the form factor as function of the pion mass, which becomes prominent for larger lattice volumes than presently used.
