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arXiv · hep-lat/9803012

A Quark-Antiquark Condensate in Three-Dimensional QCD

P. H. Damgaard·U. M. Heller·A. Krasnitz·T. Madsen
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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.

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P. H. Damgaard, U. M. Heller, A. Krasnitz, T. Madsen. 1998-07-08. A Quark-Antiquark Condensate in Three-Dimensional QCD. https://doi.org/10.1016/s0370-2693(98)01073-9

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