论文标题
在手性对称性破坏的三分顺序参数上
On the three-point order parameters of chiral symmetry breaking
论文作者
论文摘要
在复位性手性理论的框架内研究了QCD手性对称性破坏的非局部阶参数，即属于Odd Intinsic Parity sector的夸克双线性的非异常的三点绿色函数。然后将这些相关器的一般形式与各种高能量约束相匹配：同时大的三个矩的领先和子领先的OPE，这是两个矩大的领先OPE，以及相应过渡形式的两个Momenta the Momenta the Momenta the Momenta the Momenta the Momenta the Momenta the The Momenta ope。为了满足这些约束，共振性手性理论必须使用其他共振多重组和较高的导数运算符来扩大。我们以封闭形式讨论了这种详细信息的最小扩展，并目前呈现相应的相关器。然后将剩余的自由参数从晶格数据限制。作为一种现象学应用，我们讨论了对Muon $ G-2 $的Pion-Pole贡献，而Decay $π^0 \ to E^+E^ - $。
The nonlocal order parameters of the QCD chiral symmetry breaking, namely the nonanomalous three-point Green functions of the quark bilinears belonging to the odd intrinsic parity sector, are studied within the framework of the Resonance chiral theory. The general form of these correlators is then matched with various high energy constraints: the leading and sub-leading OPE for all three momenta simultaneously large, the leading OPE for two momenta large and the leading and sub-leading Brodsky-Lepage limit for the corresponding transition form factor. In order to satisfy these constraints, the Resonance chiral theory has to be enlarged with additional resonance multiplets and with higher derivative operators as well. We discuss a minimal extension of this kind in detail and present corresponding correlators in a closed form. The remaining free parameters are then constrained from lattice data. As a phenomenological application, we discuss the pion-pole contribution to the muon $g-2$ and the decay $π^0\to e^+e^-$.
