Dynamical generation of low-energy couplings from quark-meson fluctuations
Dynamical generation of low-energy couplings from quark-meson fluctuations
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DOI：
10.1103/physrevd.99.054023
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发表时间：
2019-01
影响因子：
5
通讯作者：
Florian Divotgey;Jurgen Eser;M. Mitter
中科院分区：
文献类型：
--
作者：
Florian Divotgey;Jurgen Eser;M. Mitter
本文推广了我们最近对线性O（4）夸克-介子模型低能极限的计算。本分析的重点是将所产生的有效作用转化为非线性实现的有效π作用，其高导数相互作用项由所谓的低能耦合参数化。它们在线性模型中的对应物是由动量相关的四π介子顶点的泛函重整化群流确定的，这是在完全O（4）对称近似下计算的，其中还包括动量相关的{\sigma}{\pi}相互作用以及{\sigma}自相互作用。因此，这些高导数耦合动力学产生的夸克和介子的波动，初始化在强子尺度。尽管我们的限制，低能量的自由度，我们发现，波动动力学的定性特征，使我们能够评论的范围内的有效性和适当的重整化尺度为纯介子有效模型。
We extend our recent computation of the low-energy limit of the linear O(4) Quark-Meson Model. The present analysis focuses on the transformation of the resulting effective action into a nonlinearly realized effective pion action, whose higher-derivative interaction terms are parametrized by so-called low-energy couplings. Their counterparts in the linear model are determined from the Functional Renormalization Group flow of the momentum-dependent four-pion vertex, which is calculated in a fully O(4)-symmetric approximation by including also momentum-dependent {\sigma}{\pi} interactions as well as {\sigma} self-interactions. Consequently, these higher-derivative couplings are dynamically generated solely from quark and meson fluctuations, initialized at a hadronic scale. Despite our restriction to low-energy degrees of freedom, we find that the qualitative features of the fluctuation dynamics allow us to comment on the range of validity and on appropriate renormalization scales for purely pionic effective models.