The Quark Condensate in Multi-Flavour QCD - Planar Equivalence Confronting Lattice Simulations

Abstract

Planar equivalence between the large $N$ limits of $\mathcal{N}=1$ Super Yang-Mills (SYM) theory and a variant of QCD with fermions in the antisymmetric representation is a powerful tool to obtain analytic non-perturbative results in QCD itself. In particular, it allows the quark condensate for $N=3$ QCD with quarks in the fundamental representation to be inferred from exact calculations of the gluino condensate in $\mathcal{N}=1$ SYM. In this paper, we review and refine our earlier predictions for the quark condensate in QCD with a general number $n_f$ of flavours and confront these with lattice results.

13 pages, 6 figures. Additional comment (sect 2) and references

References in corpus (9)

• Big-Bang Nucleosynthesis
• The strange quark mass and Lambda parameter of two flavor QCD
• Direct determination of the strange and light quark condensates from full lattice QCD
• (In)validity of large N orientifold equivalence
• Chiral symmetry breaking in QCD Lite
• Baryon currents in QCD with compact dimensions
• Quark condensate in one-flavor QCD
• Lattice Study of Planar Equivalence: The Quark Condensate
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Cited by in corpus (4)

• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• IR Renormalons vs. Operator Product Expansion in Supersymmetric and Related Gauge Theories
• Bose-Fermi cancellations without supersymmetry
• Baryons, Skyrmions and $\theta$-periodicity anomaly in chiral and vector-like gauge theories