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Orientifold Planar Equivalence: The Chiral Condensate / Biagio Lucini; Adi Armoni; Agostino Patella; Claudio Pica

The XXVI International Symposium on Lattice Field Theory (LATTICE 2008) - Applications beyond QCD, Volume: 66, Start page: 054

Swansea University Author: Armoni, Adi

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DOI (Published version): 10.22323/1.066.0054

Abstract

The recently introduced orientifold planar equivalence is a promising tool for solving non-perturbative problems in QCD. One of the predictions of orientifold planar equivalence is that the chiral condensates of a theory with $N_f$ flavours of Dirac fermions in the symmetric (or antisymmetric) repre...

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Published in: The XXVI International Symposium on Lattice Field Theory (LATTICE 2008) - Applications beyond QCD
Published: 2009
Online Access: http://inspirehep.net/record/797911
URI: https://cronfa.swan.ac.uk/Record/cronfa28648
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Abstract: The recently introduced orientifold planar equivalence is a promising tool for solving non-perturbative problems in QCD. One of the predictions of orientifold planar equivalence is that the chiral condensates of a theory with $N_f$ flavours of Dirac fermions in the symmetric (or antisymmetric) representation and $N_f$ flavours of Majorana fermions in the adjoint representation have the same large $N$ value for any value of the mass of the (degenerate) fermions. Assuming the invariance of the theory under charge conjugation, we prove this statement on the lattice for staggered quenched condensates in SU($N$) Yang-Mills in the large $N$ limit. Then, we compute numerically those quenched condensates for $N$ up to 8. After separating the even from the odd corrections in $1/N$, we are able to show that our data support the equivalence/ however, unlike other quenched observables, subleading terms in $1/N$ are needed for describing the data for the symmetric and antisymmetric representation at $N$=3. Possible lessons for the unquenched case are
College: College of Science
Start Page: 054