An insight on the Proof of Orientifold Planar Equivalence on the Lattice

Abstract

In a recent paper, Armoni, Shifman and Veneziano (ASV) gave a formal non-perturbative proof of planar equivalence between the bosonic sectors of SU(N) super Yang-Mills theory and of a gauge theory with a massless quark in the antisymmetric two-indexes representation. In the case of three colors, the latter theory is nothing but one-flavor QCD. Numerical simulations are necessary to test the validity of that proof and to estimate the size of 1/N corrections. As a first step towards numerical simulations, I will give a lattice version of the ASV proof of orientifold planar equivalence in the strong-coupling and large-mass phase.

14 pages, 3 EPS figures, uses REVTeX4

References in corpus (5)

• Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
• SUSY Relics in One-Flavor QCD from a New 1/N Expansion
• Refining the Proof of Planar Equivalence
• Non-perturbative equivalences among large N gauge theories with adjoint and bifundamental matter fields
• QCD Quark Condensate from SUSY and the Orientifold Large-N Expansion

Cited by in corpus (12)

• (In)validity of large N orientifold equivalence
• Quark condensate in two-flavor QCD
• Quark condensate in one-flavor QCD
• Lattice Study of Planar Equivalence: The Quark Condensate
• A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
• A numerical investigation of orientifold planar equivalence for quenched mesons
• Center symmetry and the orientifold planar equivalence
• Spectrum of orientifold QCD in the strong coupling and hopping expansion approximation
• Domain Walls and Metastable Vacua in Hot Orientifold Field Theories
• The one-flavor quark condensate and related problems
• Orientifold Planar Equivalence: The Chiral Condensate
• About Orientifold Planar Equivalence on the Lattice