English

Refining the Proof of Planar Equivalence

High Energy Physics - Theory 2009-11-10 v3

Abstract

We outline a full non-perturbative proof of planar (large-N) equivalence between bosonic correlators in a theory with Majorana fermions in the adjoint representation and one with Dirac fermions in the two-index (anti)symmetric representation. In a particular case (one flavor), this reduces to our previous result - planar equivalence between super-Yang--Mills theory and a non-supersymmetric ``orientifold field theory.'' The latter theory becomes one-flavor massless QCD at N=3.

Cite

@article{arxiv.hep-th/0412203,
  title  = {Refining the Proof of Planar Equivalence},
  author = {A. Armoni and M. Shifman and G. Veneziano},
  journal= {arXiv preprint arXiv:hep-th/0412203},
  year   = {2009}
}

Comments

15 pages, Latex. 6 figures. v2: Comments and refs. added. v3: ref.[9] corrected. To appear in Phys.Rev.D

R2 v1 2026-07-22T15:27:44.536Z