Novel solutions of RG equations for alpha(s) and beta(alpha) in the large N_c limit

Details Novel solutions of RG equations for alpha(s) and beta(alpha) in the large N_c limit Novel solutions of RG equations for alpha(s) and beta(alpha) in the large N_c limit

2001-09-18

arxiv.org/abs/hep-ph/0109159v4

Phys.Atom.Nucl.66:764-768,2003; Yad.Fiz.66:796-800,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 2 figures, misprints corrected

Scientific paper

10.1134/1.1575576

General solution of RG equations in the framework of background perturbation theory is written down in the large N_c limit. A simplified (model) approximation to the general solution is suggested which allows to write beta(alpha) and alpha(beta) to any loop order. The resulting alpha_B(Q^2) coincides asymptotically at large $|Q^2|$ with standard (free) alpha_s, saturates at small Q^2 and has poles at time-like Q^2 in agreement with analytic properties of physical amplitudes in the large N_c limit.

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