论文标题
弱磁场校正对光矢量或轴向介子的混合和矢量介子优势
Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance
论文作者
论文摘要
弱磁场引起的校正为有效的耦合常数描述了光矢量介体混合和媒介介子优势（VMD）。相对于有效的夸克质量$ m^*$，磁场必须很虚弱，这样：$ eb_0/{m^*}^2 <1 $或$ eb_0/{m^*}^2 << 2 << 1 $。对于那个味道su（2）夸克 - Quark互动是由于非扰动的一个Gluon Exchange而引起的。通过通常应用于Nambu Jona Lasinio（NJL）和全局颜色模型（GCM）的方法，引发了前导光矢量/轴向中膜耦合到背景电磁场。相应的有效耦合常数在无结构的介子和长波长限制中解析。重新定义了某些结果耦合常数，例如成为磁场引起的校正对矢量或轴向介子耦合。由于模型的近似性手性对称性，还获得了由磁场诱导的光轴向介子混合物。对耦合常数和一些相应的动量依赖性顶点提出了一些数值估计。估计了诱导的VMD和载体介子混合耦合的低动量电磁磁性外形和（壳）电荷对称对称性的潜力的贡献。相对整体弱磁场引起的各向异性校正的顺序为$（eb_0/{m^*}^2）^n $，其中$ n = 2 $或$ n = 1 $。
Weak magnetic field induced corrections to effective coupling constants describing light vector mesons mixings and vector meson dominance (VMD) are derived. The magnetic field must be weak with respect to an effective quark mass $M^*$ such that: $eB_0/{M^*}^2< 1$ or $eB_0/{M^*}^2<<1$.For that, a flavor SU(2) quark-quark interaction due to non perturbative one gluon exchange is considered. By means of methods usually applied to the Nambu Jona Lasinio (NJL) and Global Color Models (GCM), leading light vector/axial mesons couplings to a background electromagnetic field are derived. The corresponding effective coupling constants are resolved in the structureless mesons and longwavelength limits. Some of the resulting coupling constants are redefined such as to become magnetic field induced corrections to vector or axial mesons couplings. Due to the approximated chiral symmetry of the model, light axial mesons mixings induced by the magnetic field are also obtained. Some numerical estimates are presented for the coupling constants and for some of the corresponding momentum dependent vertices. The contributions of the induced VMD and vector mesons mixing couplings for the low momentum pion electromagnetic form factor and for the (off shell) charge symmetry violation potential at the constituent quark level are estimated. The relative overall weak magnetic field-induced anisotropic corrections are of the order of $(eB_0/{M^*}^2)^n$, where $n=2$ or $n=1$ respectively.
