论文标题

SU(3)QCD中的单极和手性冷凝物之间的明确相关性

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

论文作者

Ohata, Hiroki, Suganuma, Hideo

论文摘要

我们研究了SU(3)QCD中自发性的手性对称性破坏,以双重超导体图片为夸克(Quark)在最大的Abelian(MA)仪表中,使用lattice QCD Monte Carlo模拟,其四个不同的lattices,其四个不同的lattices,$ 16^4 $,$ 24^4 $,$ 24^4 $,$ 24^4 $,$ 24^$ $β。 \ simeq $ 0.1 fm)和$ 32^4 $ at $β= 6.2 $(即$ a \ simeq $ 0.075 fm),在猝灭级别上。首先,在监禁阶段,我们使用i的两种不同方法)在手性凝管的MA量规上发现了亚伯的主导地位和单子占优势。在高温解义相中,也观察到针对阿贝尔和单极扇区的手性恢复。其次,我们研究了手性冷凝物和单极管之间的局部相关性,这些凝结物从拓扑中出现在MA仪表中。我们发现,手性冷凝物本地在单极子附近具有很大的价值。作为一种有趣的可能性,单孔周围的强磁场负责QCD中的手性对称性破裂,类似于磁催化。

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 $β=6.0$ (i.e., the spacing $a \simeq$ 0.1 fm), and $32^4$ at $β=6.2$ (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.

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