Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-05-10
Phys.Lett.B514:279-283,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
latex2e, 6 pages, 2 eps figures. Revised versions contain a new table,extended analysis, and an extended discussion
Scientific paper
10.1016/S0370-2693(01)00788-2
A mass scale $\mu_c$ representing the boundary between effective theories of strong interactions and perturbative QCD (infrared and ultraviolet regimes) exists when the $\beta$-function is characterized by a simple pole. This behaviour, which is known to occur in N=1 supersymmetric Yang-Mills theories, leads to an infrared attractor in the evolution of the coupling constant, with the mass scale $\mu_c$ of the attractor providing a natural boundary between the infrared and ultraviolet regimes. It is demonstrated that [2|2], [3|1] and [1|3] Pade-approximant versions of the three-flavour QCD $\beta$-function each contain a simple pole corresponding to such an infrared attractor. All three approximants, separately considered, are seen to lead to nearly equivalent estimates for the mass scale $\mu_c$.
Chishtie Farrukh A.
Elias Victor
~Steele ~G. T.
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