Bilinear condensate in three-dimensional large-$N_c$ QCD

Abstract

We find clear numerical evidence for a bilinear condensate in three-dimensional QCD in the 't Hooft limit. We use a non-chiral random matrix model to extract the value of the condensate $\Sigma$ from the low-lying eigenvalues of the massless anti-Hermitian overlap Dirac operator. We estimate $\Sigma /{\lambda }^2=0.0042\pm 0.0004$ in units of the physical 't Hooft coupling.

arXiv comment9 pages, 4 figures

References in corpus (9)

• On the vacuum wavefunction and string tension of Yang-Mills theories in (2+1) dimensions
• Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?
• Random matrix theory and $QC{D}_3$
• No evidence for bilinear condensate in parity-invariant three-dimensional QED with massless fermions
• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• A Quark-Antiquark Condensate in Three-Dimensional QCD
• Microscopic Spectrum of the QCD Dirac Operator in Three Dimensions
• Phases of three dimensional large N QCD on a continuum torus
• Computation of the string tension in three dimensional Yang-Mills theory using large N reduction

Cited by in corpus (5)

• Flavor and topological current correlators in parity-invariant three-dimensional QED
• Metastable Vacua in Large-$N$ QCD${}_3$
• Scale-invariance and scale-breaking in parity-invariant three-dimensional QCD
• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
• Phase transitions in a three-dimensional analogue of Klebanov-Strassler