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Quark Confinement and Deconfinement in QCD from the Viewpoint of Abelian-Projected Effective Gauge Theory

Kei-Ichi Kondo
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Abstract

We give another derivation of quark confinement in QCD from the viewpoint of the low-energy effective Abelian gauge theory of QCD obtained via Abelian projection. It is based on the recently discovered Berezinskii-Kosterlitz-Thouless phase transition in the four-dimensional Abelian gauge theory. Moreover, we show that there exists a critical gauge coupling constant in QCD, above which confinement set in and below which there is no confinement. In a SU(N) gauge theory with $N_f$ flavored fermions, we argue that this leads to a critical value of fermion flavors $N_f^c$ for the confinement as well as the chiral symmetry breaking, which separates the deconfinement and chiral symmetric phase. A finite-temperature deconfinement transition is also discussed briefly.

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Kei-Ichi Kondo. 1999-04-07. Quark Confinement and Deconfinement in QCD from the Viewpoint of Abelian-Projected Effective Gauge Theory. https://doi.org/10.1016/s0370-2693(99)00405-0

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