- #1

geoduck

- 258

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Here is what I got, for β=g

^{α}, where 1∠α, where g is the coupling and μ is scale:

[tex]g_2^{\alpha-1}=\frac{g_1^{\alpha-1}}{1-(\alpha-1)g_1^{\alpha-1}\log\frac{\mu_2}{\mu_1}} [/tex]

The denominator will blow up for large μ

_{2}if [tex]g_1^{\alpha-1} [/tex] is positive.

But doesn't QCD, QED, scalar theory, all have α>1 ? So is there a Landau pole in all of them?