论文标题
Yukawa耦合在三种风味Quark-Meson模型中的现场依赖性
Field dependence of the Yukawa coupling in the three flavor quark-meson model
论文作者
论文摘要
我们研究了三种Quark-Meson模型框架中依赖场Yukawa耦合的Yukawa耦合的重新归一化组流量。在常规的扰动计算中,鉴于场缩放是微不足道的,如果将其耦合到相等数量的标量和伪尺度字段,则Yukawa耦合不会在单循环水平上重新归一化。但是,它的字段依赖性版本确实相对于比例尺流动。使用功能性重归其化组技术,我们表明,如何提取Yukawa耦合的实际流动是高度非平凡的,因为有几个新的手性不变的算子在有效的动作中通过量子波动产生,需要与Yukawa相互作用的量子区分。
We investigate the renormalization group flow of the field-dependent Yukawa coupling in the framework of the three flavor quark-meson model. In a conventional perturbative calculation, given that the field rescaling is trivial, the Yukawa coupling does not get renormalized at the one-loop level if it is coupled to an equal number of scalar and pseudoscalar fields. Its field-dependent version, however, does flow with respect to the scale. Using the functional renormalization group technique, we show that it is highly nontrivial how to extract the actual flow of the Yukawa coupling as there are several new chirally invariant operators that get generated by quantum fluctuations in the effective action, which need to be distinguished from that of the Yukawa interaction.