arXiv 0708.21672007-08-16hep-ph

Thompson重整化群方法在高能尺度下对QCD的应用

Thompson's renormalization group method applied to QCD at high energy scale

Claudio Nassif, J. A. Helayel-Neto, P. R. Silva

备注：: 13 pages, no figures and 28 references. arXiv admin note: substantial text overlap with arXiv:0706.2553

摘要：

我们用重整化群方法来处理QCD-真空行为，特别是更接近于渐近自由态。QCD真空的行为实际上类似于经典理论中的“顺磁系统”，在这个意义上，当磁场排列它们的微观磁偶极子时，虚色荷（胶子）作为顺磁材料的自旋效应出现在其中。由于与朗道理论的顺磁性的强经典类比，我们将能够使用没有温度和相变的某种朗道有效作用量来表示在更高能量下的QCD-真空行为，作为在磁场$H$存在下顺磁性材料的磁化。这个推理将允许我们将汤普森的方法应用于这样的作用，以提取QCD真空的“有效磁化率”（$χ>0$）。研究强子物质依赖于能量标度$u$的对数。因此，我们能够得到这种“顺磁真空”的“有效磁导率“（$μ>1$）。实际上，由于QCD真空必须服从洛伦兹不变性，因此$μ>1$的获得必须简单地要求“有效电常数”是$ε<1$，使得$με=1$（$c^2=1$）。这导致了反屏蔽效应，其中渐近自由发生。我们也将能够扩展我们的调查，包括反磁费米性质的QED-真空（屏蔽）和顺磁玻色子性质的QCD-真空（反屏蔽）到相同的形式主义，通过获得一个$β$ -功能在1圈，其中玻色子和费米的贡献被认为是。

英文摘要：

We use a renormalization group method to treat QCD-vacuum behavior specially closer to the regime of asymptotic freedom. QCD-vacuum behaves effectively like a "paramagnetic system" of a classical theory in the sense that virtual color charges (gluons) emerges in it as a spin effect of a paramagnetic material when a magnetic field aligns their microscopic magnetic dipoles. Due to that strong classical analogy with the paramagnetism of Landau's theory,we will be able to use a certain Landau effective action without temperature and phase transition for just representing QCD-vacuum behavior at higher energies as being magnetization of a paramagnetic material in the presence of a magnetic field $H$. This reasoning will allow us to apply Thompson's approach to such an action in order to extract an "effective susceptibility" ($χ>0$) of QCD-vacuum. It depends on logarithmic of energy scale $u$ to investigate hadronic matter. Consequently we are able to get an ``effective magnetic permeability" ($μ>1$) of such a "paramagnetic vacuum". Actually,as QCD-vacuum must obey Lorentz invariance,the attainment of $μ>1$ must simply require that the "effective electrical permissivity" is $ε<1$ in such a way that $με=1$ ($c^2=1$). This leads to the anti-screening effect where the asymptotic freedom takes place. We will also be able to extend our investigation to include both the diamagnetic fermionic properties of QED-vacuum (screening) and the paramagnetic bosonic properties of QCD-vacuum (anti-screening) into the same formalism by obtaining a $β$-function at 1 loop,where both the bosonic and fermionic contributions are considered.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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