QCD Dirac spectrum and components of the gauge field

Details QCD Dirac spectrum and components of the gauge field QCD Dirac spectrum and components of the gauge field

2010-05-13

arxiv.org/abs/1005.2241v2

Nucl.Phys.B844:115-128,2011

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1016/j.nuclphysb.2010.10.027

We analyze the relation between the Dirac spectrum and the gauge field in SU(3) lattice QCD. We focus on how components of the gauge field are related to the Dirac spectrum. First, we consider momentum components of the gauge field. It turns out that the broad region of momentum components is relevant for the low-lying Dirac spectrum and zero modes, i.e., topological charges. The connection with chiral random matrix theory is also discussed. Second, we consider an SU(2) subgroup component of the SU(3) gauge field. The SU(2) subgroup component behaves like the SU(2) gauge field in the low-lying Dirac spectrum.

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