Novel solutions of RG equations for α ( s ) and β ( α ) in the large N c limit
نویسنده
چکیده
General solution of RG equations in the framework of background perturbation theory is written down in the large Nc limit. A simplified (model) approximation to the general solution is suggested which allows to write β(α) and α(β) to any loop order. The resulting αB(Q 2) coincides asymptotically at large |Q2| with standard (free) αs, saturates at small Q2 ≥ 0 and has poles at time-like Q2 in agreement with analytic properties of physical amplitudes in the large Nc limit.
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