The Model for QCD Running Coupling Constant with Dynamically Generated Mass and Enhancement.pdf

IHEP 98-41 June 1998 8 9 THE MODEL FOR QCD RUNNING COUPLING 9 1 CONSTANT WITH DYNAMICALLY GENERATED g MASS AND ENHANCEMENT IN THE INFRARED u A REGION1 3 1 v Aleksey I. Alekseev 6 0 Institute for High Energy Physics, Protvino, Moscow Region, 142284 Russia 2 E-mail: alekseev@mx.ihep.su 8 0 8 9 / h p Abstract - p Nonperturbative studies of the strong running coupling constant e in the infrared region are discussed. Starting from the analyses of h : the Dyson – Schwinger equations in the gauge sector of QCD, the v i conclusion is made on an incomplete fixing of the perturbation the- X ory summation ambiguity within ”(forced) analytization procedure” r 2 (called also a dispersive approach). A minimal model for α¯ (q ) is a s proposed so that the perturbative time-like discontinuity is preserved and nonperturbative terms not only remove the Landau singularity but also provide the ultraviolet convergence of the gluon condensate. Within this model, on the one hand, the gluon zero modes are en- hanced (the dual superconductor property of the QCD vacuum) and, on the other hand, dynami