Meromorphization of Large N QFT
Abstract
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.
Cite
@article{arxiv.1109.1623,
title = {Meromorphization of Large N QFT},
author = {Alexander Migdal},
journal= {arXiv preprint arXiv:1109.1623},
year = {2011}
}
Comments
29 pages, 4 figures, 2 appendixes. Added a chapter with detailed discussion of confinement mechanism and running coupling constant in our theory