Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-23
JHEP 0007 (2000) 005
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 10 figures, Latex (uses JHEP.cls); v2: references added
Scientific paper
10.1088/1126-6708/2000/07/005
Type 0B string theory has been proposed as the dual description of non-supersymmetric SU(N) Yang-Mills theory coupled to six scalars, in four dimensions. We study numerically and analytically the equations of motion of type 0B gravity and we find RG trajectories of the dual theory that flow from an asymptotically free UV regime to a confining IR regime. In the UV we find a one-parameter family of solutions that approach asymptotically $AdS_5\times S^5$ with a logarithmic flow of the coupling plus non-perturbative terms that correctly reproduce all UV and IR renormalon singularities. The first UV renormalon gives a contribution $\sim F_1(E)/E^2$ and we are able to predict also the form of the function $F_1(E)$, which, from the YM side, corresponds to summing all multiple-chain bubble graphs. The fact that the positions of the renormalon singularities in the Borel plane come out correctly is a non-trivial test of the conjectured duality.
Grena Roberto
Lelli Simone
Maggiore Michele
Rissone Anna
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