A Perturbative Window into NonPerturbative Physics
Abstract
We argue that for a large class of N=1 supersymmetric gauge theories the effective superpotential as a function of the glueball chiral superfield is exactly given by a summation of planar diagrams of the same gauge theory. This perturbative computation reduces to a matrix model whose action is the treelevel superpotential. For all models that can be embedded in string theory we give a proof of this result, and we sketch an argument how to derive this more generally directly in field theory. These results are obtained without assuming any conjectured dualities and can be used as a systematic method to compute instanton effects: the perturbative corrections up to nth loop can be used to compute up to ninstanton corrections. These techniques allow us to see many nonperturbative effects, such as the SeibergWitten solutions of N=2 theories, the consequences of MontonenOlive Sduality in N=1* and Seiberglike dualities for N=1 theories from a completely perturbative planar point of view in the same gauge theory, without invoking a dual description.
 Publication:

arXiv eprints
 Pub Date:
 August 2002
 arXiv:
 arXiv:hepth/0208048
 Bibcode:
 2002hep.th....8048D
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 38 pages, 9 figures