A planar diagram theory for strong interactions
Abstract
A gauge theory with colour gauge group U( N) and quarks having a colour index running from one to N is considered in the limit N → ∞, g^{2}N fixed. It is shown that only planar diagrams with the quarks at the edges dominate; the topological structure of the perturbation series in 1/ N is identical to that of the dual models, such that the number 1/ N corresponds to the dual coupling constant. For hadrons N is probably equal to three. A mathematical framework is proposed to link these concepts of planar diagrams with the functional integrals of Gervais, Sakita and Mandelstam for the dual string.
 Publication:

Nuclear Physics B
 Pub Date:
 April 1974
 DOI:
 10.1016/05503213(74)901540
 Bibcode:
 1974NuPhB..72..461T