View source for Thompson's Renormalization Group Method Applied to QCD at High Energy Scale

{{Infobox paper
| title = Thompson\'s Renormalization Group Method Applied to QCD at High Energy Scale
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5679.pdf Link to paper]
| author = [[Cl?udio Nassif]]
| published = 2007
| journal = [[ArXiv]]
| num_pages = 13
}}

'''Read the full paper''' [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5679.pdf here]

==Abstract==

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? (&#967; &gt; 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? (&#956; &gt; 1) of such a ?paramagnetic vacuum?. Actually,as QCD-vacuum must obey Lorentz invariance,the attainment of &#956; &gt; 1 must simply require that the ?effective electrical permissivity? is &#491; &lt; 1 in such a way that &#956;&#491; = 1 (c2 = 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 &#946;-function at 1 loop,where both the bosonic and fermionic contributions are considered.

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