Confinement, asymptotic freedom and renormalons in type 0 string duals

TL;DR

This paper explores type 0B string theory as a dual to non-supersymmetric Yang-Mills, analyzing RG flows, UV and IR behaviors, and renormalon singularities, providing evidence for the duality through detailed calculations.

Contribution

It offers a detailed study of RG trajectories in type 0B duals, matching renormalon singularities with field theory predictions, and predicts the form of non-perturbative functions.

Findings

RG flows from UV to IR regimes in type 0B duals

Matching of renormalon singularities with field theory

Prediction of the function F_1(E) related to bubble graphs

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 $AdS_5\times S^5$ 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.