论文标题
磁性校正玻色子自耦合和与夸克的线性sigma模型中的玻色子效果耦合
Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
论文作者
论文摘要
我们使用QCD的有效模型，即带有夸克的线性Sigma模型，计算磁场引起的对玻色子自耦合的修饰，并以静态极限为静态界限。对前者进行任意场强以及使用强场近似计算。后者是在强场极限中获得的。玻色子自偶联的任意场结果取决于紫外线重新归一化量表，这种依赖性不能通过简单的真空减法来消除。使用强场结果作为指导，我们为此量表找到了适当的选择并讨论物理含义。玻色丝屈服耦合取决于雪松的相位，我们展示了如何以磁场诱导的顶点修饰的方式始终处理该相的处理，这既是规格不变的，又可以用与外部颗粒的能量量量保存相对应的显式因子编写。两个耦合都随场强度均显示出适中的降低。
We compute the magnetic field-induced modifications to the boson self-coupling and the boson-fermion coupling, in the static limit, using an effective model of QCD, the linear sigma model with quarks. The former is computed for arbitrary field strengths as well as using the strong field approximation. The latter is obtained in the strong field limit. The arbitrary field result for the boson self-coupling depends on the ultraviolet renormalization scale and this dependence cannot be removed by a simple vacuum subtraction. Using the strong field result as a guide, we find the appropriate choice for this scale and discuss the physical implications. The boson-fermion coupling depends on the Schwinger's phase and we show how this phase can be treated consistently in such a way that the magnetic field induced vertex modification is both gauge invariant and can be written with an explicit factor corresponding to energy-momentum conservation for the external particles. Both couplings show a modest decrease with the field strength.
