Автор |
Roberto Grena |
Автор |
Simone Lelli |
Автор |
Michele Maggiore |
Автор |
Anna Rissone |
Дата выпуска |
2000-07-01 |
dc.description |
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<sub>5</sub> × S<sup>5</sup> 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 ∼ F<sub>1</sub>(E)/E<sup>2</sup> and we are able to predict also the form of the function F<sub>1</sub>(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. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Confinement, asymptotic freedom and renormalons in type 0 string duals |
Тип |
paper |
DOI |
10.1088/1126-6708/2000/07/005 |
Electronic ISSN |
1029- 8479 |
Print ISSN |
1126-6708 |
Журнал |
Journal of High Energy Physics |
Том |
2000 |
Первая страница |
5 |
Последняя страница |
005 |
Выпуск |
07 |