论文标题

仪表域重新归一化组和热施形

Gauge fields renormalization groups and thermofractals

论文作者

Deppman, Airton, Megias, Eugenio, Menezes, Debora P.

论文摘要

QCD的扰动方法已被证明是有限的,并且在低能区域中获得准确计算的困难似乎是无法克服的。最近的一种方法使用杨米尔斯场理论的分形结构来规避这些困难,从而确定了运行耦合的分析表达。获得的结果与几个实验发现一致,并解释了高能量碰撞时观察到的许多现象。在这项工作中,我们解决了分形方法的一些概念方面,这些方面是根据重新归一化组方程和对Parton质量的自我能力校正表示的。我们将这些知名概念与量子场理论中分形结构的起源联系起来。

The perturbative approach to QCD has been shown to be limited, and the difficulties to obtain accurate calculations in the low-energy region seems to be insurmountable. A recent approach uses the fractal structures of Yang-Mills Field Theory to circumvent those difficulties, allowing for the determination of an analytic expression for the running coupling. The results obtained are in agreement with several experimental findings, and explain many of the observed phenomena at high-energy collisions. In this work, we address some of the conceptual aspects of the fractal approach, which are expressed in terms of the renormalization group equation and the self-energy corrections to the parton mass. We associate these well-known concepts with the origins of the fractal structure in the quantum field theory.

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