2016/11/26 by Hideo Suganuma, Takahiro M. Doi, Krzysztof Redlich +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral anomaly #Chiral symmetry breaking #Color confinement #Fermion #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Spontaneous symmetry breaking #String (physics) #Symmetry breaking #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1051/epjconf/201713704003
published in EPJ Web of Conferences 137, 04003 (EDP Sciences)
arxiv created 2016/11/26 · openalex created_date 2016/12/08 · openalex publication_date 2017/01/01 · arxiv updated 2017/04/05 · openalex updated_date 2026/08/05
We analytically study the relation between quark confinement and spontaneous chiral-symmetry breaking in QCD. In terms of the Dirac eigenmodes, we derive some formulae for the Polyakov loop, its fluctuations, and the string tension from the Wilson loop. We also investigate the Polyakov loop in terms of the eigenmodes of theWilson, the clover and the domain wall fermion kernels, respectively. For the confinement quantities, the low-lying Dirac/fermion eigenmodes are found to give negligible contribution, while they are essential for chiral symmetry breaking. These relations indicate no direct one-to-one correspondence between confinement and chiral symmetry breaking in QCD, which seems to be natural because confinement is realized independently of the quark mass.