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

Agostino Patella
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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.

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Agostino Patella. 2006-04-21. An insight on the Proof of Orientifold Planar Equivalence on the Lattice. https://doi.org/10.1103/physrevd.74.034506

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