Weak magnetic-field-induced corrections to effective coupling constants describing light vector meson mixing and vector meson dominance (VMD) are derived. The magnetic field must be weak with respect to an effective quark mass M * such that: ##IMG## [http://ej.iop.org/images/0954-3899/47/11/115102/gaba7c9ieqn1.gif] {$e{B}_{0}/{{M}^{{\ast}}}^{2}{< }1$} or ##IMG## [http://ej.iop.org/images/0954-3899/47/11/115102/gaba7c9ieqn2.gif] {$e{B}_{0}/{{M}^{{\ast}}}^{2}\ll 1$} . On that basis, a flavor SU(2) quark–quark interaction due to a non-perturbative one gluon exchange is considered. By means of methods usually applied to the Nambu—Jona-Lasinio and global color models, the equations for leading light vector/axial meson coupling to a background electromagnetic field are derived. The corresponding effective coupling constants are resolved in structureless mesons and long-wavelength limits. Some of the resulting coupling constants are r...

中文翻译：

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对光矢量或轴向介子混合以及矢量介子优势的弱磁场校正

推导了对有效耦合常数的弱磁场感应校正，该校正常数描述了光矢量介子混合和矢量介子优势（VMD）。相对于有效的夸克质量M *，磁场必须弱，使得：## IMG ## [http://ej.iop.org/images/0954-3899/47/11/115102/gaba7c9ieqn1.gif] {$ e {B} _ {0} / {{M} ^ {{\ ast}}} ^ {2} {<} 1 $}或## IMG ## [http://ej.iop.org/ images / 0954-3899 / 47/11/115102 / gaba7c9ieqn2.gif] {$ e {B} _ {0} / {{M} ^ {{\ ast}}} ^ {2} \ ll 1 $}。在此基础上，考虑了由于非扰动的一种胶子交换而引起的风味SU（2）夸克-夸克相互作用。通过通常应用于Nambu-Jona-Lasinio模型和全局颜色模型的方法，导出了将前导光矢量/轴向介子耦合到背景电磁场的方程。相应的有效耦合常数在无结构的介子和长波长范围内解析。一些产生的耦合常数是...