Quark-gluon mixed condensate g〈qσμνGμνq〉 from lattice QCD Original Research Article

We study the quark-gluon mixed condensate View the MathML sourceq〉, which is another chiral order parameter, in SU(3)c lattice QCD with the Kogut-Susskind fermion at the quenched level. Using 100 gauge configurations on the 164 lattice with β = 6.0, we measure g〈σμνGμνq〉 at 16 points in each gauge configuration for each current-quark mass of mq = 21, 36, 52 MeV. From the 1600 data for each mq, we find m02 ≡ g〈View the MathML sourceσμνGμνq〉/〈View the MathML sourceg〉⋍ 2.5 GeV2 at the lattice scale of a−1 }- 2GeV in the chiral limit. The large value of View the MathML source suggests its importance in the operator product expansions in QCD. We also show our preliminary results of View the MathML source at finite temperature.