A Quark-Antiquark Condensate in Three-Dimensional QCD

Abstract

Three-dimensional lattice QCD is studied by Monte Carlo simulations within the quenched approximation. At zero temperature a quark-antiquark condensate is observed in the limit of vanishing quark masses. The condensate vanishes continuously at the finite-temperature deconfinement phase transition of the theory. A natural interpretation of this phenomenon in the full theory with dynamical quarks is in terms of the spontaneous flavor symmetry breaking $U(N_f)\to U(N_f/2)\times U(N_f/2)$. In addition, the spectrum of low-lying Dirac operator eigenvalues is computed and found to be consistent with a flat distribution at zero temperature, in agreement with analytical predictions.

arXiv commentExtensive revision of the original version. 11 pages, 6 figures included as EPS files. The problem with figure encapsulation fixed

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Cited by in corpus (26)

• Random Matrix Theory and Chiral Symmetry in QCD
• Small eigenvalues of the SU(3) Dirac operator on the lattice and in Random Matrix Theory
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• Microscopic correlations of non-Hermitian Dirac operators in three-dimensional QCD
• Chiral symmetry restoration and the Z3 sectors of QCD
• QCD3 and the Replica Method
• Microscopic Spectrum of the QCD Dirac Operator in Three Dimensions
• QCD in One Dimension at Nonzero Chemical Potential
• Scale-invariance and scale-breaking in parity-invariant three-dimensional QCD
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Two-color QCD in 3D at finite baryon density
• 3D two-color QCD at finite temperature and baryon density
• Bilinear condensate in three-dimensional large-$N_c$ QCD
• GUE-chGUE Transition preserving Chirality at finite Matrix Size
• Shift of Symmetries of Naive Fermions in QCD-like Lattice Theories
• Massive random matrix ensembles at beta = 1 & 4 : QCD in three dimensions
• Random matrix model for QCD_3 staggered fermions
• The Replica Method and Toda Lattice Equations for QCD_3
• Finite Volume Gauge Theory Partition Functions in Three Dimensions
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Random matrix models for phase diagrams
• Symmetry Crossover Protecting Chirality in Dirac Spectra
• Random matrix approach to three-dimensional QCD with a Chern-Simons term
• Randomness on the Lattice
• Phase transitions in a three-dimensional analogue of Klebanov-Strassler
• Four-dimensional Yang-Mills theory with a three-dimensional fermion membrane