Lattice QCD study for the Quark-Gluon Mixed Condensate (anti-Q sigma G Q)
arXiv:hep-lat/0212025 · doi:10.1142/9789812704269_0068
Abstract
We study the quark-gluon mixed condensate g<\bar{q} sigma G q>, which is another chiral order parameter, using the SU(3)c lattice QCD with the Kogut-Susskind(KS) fermion at the quenched level. We generate 100 gauge configurations on the 16^4 lattice with β= 6.0, and measure the mixed condensate at 16 points in each gauge configuration for each current-quark mass of m_q=21, 36, 52 MeV. From the 1600 data for each m_q, we find the ratio between the mixed condensate and the quark condensate, m_0^2 = g<\bar{q} sigma G q> / <\bar{q}q> \simeq 2.5 GeV^2 at the lattice scale of 1/a \simeq 2 GeV in the chiral limit. The large value of the mixed condensate suggests its importance in the operator product expansions in QCD.
arXiv comment3 pages, Talk given at 5th International Conference Quark confinement and the hadron spect rum, Gargnano, Italy, 10-14 Sep. 2002