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arXiv 1902.04804hep-phhep-th
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O(4)夸克-介子模型的低能极限

Low-energy limit of the O(4) quark-meson model

Jürgen Eser, Florian Divotgey, Mario Mitter

摘要:

研究了O(4)对称夸克-介子模型中量子涨落引起的低能耦合的产生。为此,我们计算了包含高阶导数相互作用的线性实现的夸克-介子模型的泛函重整化群流,并将其有效作用量转化为非线性有效π介子作用量.后者被称为O(4)夸克-介子模型的低能极限。目前的研究可以被认为是一个准备工作的动力学产生的低能耦合从功能QCD波动,以确定有意义的重整化标度的纯介子模型。

英文摘要:

We study the generation of low-energy couplings induced by quantum fluctuations within the O(4)-symmetric quark-meson model. To this end, we compute the functional renormalization group flow of the linearly realized quark-meson model including higher-derivative interactions and subsequently transform the resulting effective action into a nonlinear effective pion action. The latter is referred to as the low-energy limit of the O(4) quark-meson model. The present study may be considered as a preparatory work for the dynamical generation of low-energy couplings from functional QCD fluctuations in order to determine meaningful renormalization scales for purely pionic models.

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