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  • 标题:Orientifold Planar Equivalence: The Chiral Condensate
  • 本地全文:下载
  • 作者:A. Armoni ; B. Lucini ; A. Patella
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2008
  • 卷号:2008
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:The recently introduced orientifold planar equivalence is a promising tool for solving nonperturbative problems in QCD. One of the predictions of orientifold planar equivalence is that the chiral condensates of a theory with Nf flavours of Dirac fermions in the symmetric (or antisymmetric) representation and Nf 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 discussed.
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