1998/10/31 by Kei-Ichi Kondo · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1016/s0370-2693(99)00405-0
published as Phys.Lett. B455 (1999) 251-258 · 14 pages, Latex, version to be published in Phys. Lett. B (two paragraphs are added in pages 10 and 11.)
arxiv created 1999/04/07 · openalex publication_date 1999/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Nf flavored fermions, we argue that this leads to a critical value of fermion flavors Nfc 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.