Clear correlation between monopoles and the chiral condensate in SU(3) QCD

Abstract

We study spontaneous chiral-symmetry breaking in SU(3) QCD in terms of the dual superconductor picture for quark confinement in the maximally Abelian (MA) gauge, using lattice QCD Monte Carlo simulations with four different lattices of $16^4$, $24^4$, $24^3\times 6$ at $\beta =6.0$ (i.e., the spacing $a\simeq$ 0.1 fm), and $32^4$ at $\beta =6.2$ (i.e., $a\simeq$ 0.075 fm), at the quenched level. First, in the confinement phase, we find Abelian dominance and monopole dominance in the MA gauge for the chiral condensate in the chiral limit,using the two different methods of i) the Banks-Casher relation with the Dirac eigenvalue density and ii) finite quark-mass calculations with the quark propagator and its chiral extrapolation. In the high-temperature deconfined phase, the chiral restoration is observed also for the Abelian and the monopole sectors. Second, we investigate local correlation between the chiral condensate and monopoles, which topologically appear in the MA gauge. We find that the chiral condensate locally takes a quite large value near monopoles. As an interesting possibility, the strong magnetic field around monopoles is responsible to chiral symmetry breaking in QCD, similarly to the magnetic catalysis.

arXiv comment8 pages, 4 figures

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Cited by in corpus (6)

• Quantum Simulation of Chiral Phase Transitions
• Decomposition of the SU(2) gauge field in the Maximal Abelian gauge
• Local correlation among the chiral condensate, monopoles, and color magnetic fields in Abelian projected QCD
• Dynamics of quarks and gauge fields in the lowest-energy states in QCD and QED
• Dimensional reduction gauge and effective dimensional reduction in the four-dimensional Yang-Mills theory
• Violation of non-Abelian Bianchi identity and QCD topology