Confinement, asymptotic freedom and renormalons in type 0 string duals

Abstract

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 $Ad{S}_5\times S^5$ 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.

29 pages, 10 figures, Latex (uses JHEP.cls); v2: references added

References in corpus (5)

• Large N Field Theories, String Theory and Gravity
• The String Dual of a Confining Four-Dimensional Gauge Theory
• Confinement in 4D Yang-Mills Theories from Non-Critical Type 0 String Theory
• Non-critical type 0 string theories and their field theory duals
• Branes at Singularities in Type 0 String Theory

Cited by in corpus (10)

• Toward a Systematic Holographic QCD: A Braneless Approach
• Linear square-mass trajectories of radially and orbitally excited hadrons in holographic QCD
• Cosmological Evolution of a Brane Universe in a Type 0 String Background
• A note on regular type 0 solutions and confining gauge theories
• Geometrical Tachyon Dynamics in the Background of a Bulk Tachyon Field
• Type 0 ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds and Misaligned Supersymmetry
• RG Flows Towards IR Isolated Fixed Points: Some Type 0 Samples
• A Torsion Correction to the RR 4-Form Fieldstrength
• Beta-functions in Yang-Mills Theory from Non-critical String
• AdS/QCD and Type 0 String Theory