Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-09-08
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 4 figures, 2 appendixes. Added a chapter with detailed discussion of confinement mechanism and running coupling cons
Scientific paper
We find general relations between RG equations and planar unitarity-analyticity. These relations are summarized in meromorphization procedure, generalizing the Pad\'e approximation in the limit of infinite order. We also investigate confinement conditions for the mass spectrum in asymptoticaly free QFT and lay down systematic framework for {\alpha} expansion suggested in previous papers. The new relations for meromorphization of symmetric conformal tensors are found and studied. Explicit intergal representation for the triple string vertex {\Gamma} is found. This corresponds to resonanse theory with infinite number of masses and Lagrangean \PhiQ\Phi+\Gamma\Phi^3.
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