Relevant gluonic energy scale of spontaneous chiral symmetry breaking from lattice QCD

Abstract

We analyze which momentum component of the gluon field induces spontaneous chiral symmetry breaking in lattice QCD. After removing the high-momentum or low-momentum component of the gluon field, we calculate the chiral condensate and observe the roles of these momentum components. The chiral condensate is found to be drastically reduced by removing the zero-momentum gluon. The reduction is about 40% of the total in our calculation condition. The nonzero-momentum infrared gluon also has a sizable contribution to the chiral condensate. From the Banks-Casher relation, this result reflects the nontrivial relation between the infrared gluon and the zero-mode quark.

References in corpus (5)

• Confinement versus Chiral Symmetry
• Relevant energy scale of color confinement from lattice QCD
• Lattice analysis for the energy scale of QCD phenomena
• Thermal effects on quark-gluon mixed condensate g<\bar{q} σG q> from lattice QCD
• Separating the scales of confinement and chiral-symmetry breaking in lattice QCD with fundamental quarks

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• Improved variational approach to QCD in Coulomb gauge
• How confinement may affect technicolor?
• QCD Dirac spectrum and components of the gauge field
• Chiral symmetry breaking with a confining propagator and dynamically massive gluons