论文标题

波动引起的高衍生耦合和夸克 - 梅森 - diquark模型的红外动力学

Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model

论文作者

Cichutek, Niklas, Divotgey, Florian, Eser, Jürgen

论文摘要

在一项定性研究中,$ \ text {so} \!\ left(6 \ right)$ - 对称夸克 - 米森 - 二夸克模型是两种量子量子彩色动力学的有效模型的低能特性。特别是,我们计算了线性夸克 - 梅森 - diquark模型的波动诱导的高衍生耦合的红外缩放率行为,并将结果重新归一化的有效作用映射到其非线性对应物上。因此,非线性模型的较高衍生耦合,我们将其确定为夸克 - 梅森 - diquark模型的低能耦合,因此完全取决于其线性等效物的FRG流动。这可以使他们完全访问其缩放行为,并提供纯粹的玻感有效模型的概念方面的见解,因为它们在FRG中得到了处理。这样,提出的工作就被理解为我们最近在$ \ text {so} \!\ left(4 \ right)$ - 对称的Quark-Meson模型的立即扩展。

In a qualitative study, the low-energy properties of the $\text{SO}\!\left(6\right)$-symmetric Quark-Meson-Diquark Model as an effective model for two-color Quantum Chromodynamics are investigated within the Functional Renormalization Group (FRG) approach. In particular, we compute the infrared scaling behavior of fluctuation-induced higher-derivative couplings of the linear Quark-Meson-Diquark Model and map the resulting renormalized effective action onto its nonlinear counterpart. The higher-derivative couplings of the nonlinear model, which we identify as the low-energy couplings of the Quark-Meson-Diquark Model, are therefore entirely determined by the FRG flow of their linear equivalents. This grants full access to their scaling behavior and provides insights into conceptual aspects of purely bosonic effective models, as they are treated within the FRG. In this way, the presented work is understood as an immediate extension of our recent advances in the $\text{SO}\!\left(4\right)$-symmetric Quark-Meson Model beyond common FRG approximations.

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