Using the Dyson-Schwinger equation and perturbation theory, we calculate the mixed quark-gluon condensates in the chiral limit and in the case of nonzero quark current mass for the light quark u/d and strange quark s....Using the Dyson-Schwinger equation and perturbation theory, we calculate the mixed quark-gluon condensates in the chiral limit and in the case of nonzero quark current mass for the light quark u/d and strange quark s. The results show that the mixed quark-gluon condensate will decrease when the quark mass increases. For the quark with zero mass, we obtain mo2 = g（qσuvGuvq）/（qq） 0.68 GeV2, which is in good agreement with the QCD sum rules estimate mo2=（0.8± 0.2） GeV2.展开更多
Using the Schwinger Dyson equation and perturbation theory,we calculate the two-quark condensates forthe light quarks u,d,strange quark s and a heavy quark c with their current masses respectively.The results show tha...Using the Schwinger Dyson equation and perturbation theory,we calculate the two-quark condensates forthe light quarks u,d,strange quark s and a heavy quark c with their current masses respectively.The results show thatthe two-quark condensate will decrease when the quark mass increases,which hints the chiral symmetry may be restoredfor the heavy quarks.展开更多
基金Supported in part by the Key Research Plan of Theoretical Physics and Cross Science of China under Grant No. 90503011National Science Foundation under Grant No. 10775012
文摘Using the Dyson-Schwinger equation and perturbation theory, we calculate the mixed quark-gluon condensates in the chiral limit and in the case of nonzero quark current mass for the light quark u/d and strange quark s. The results show that the mixed quark-gluon condensate will decrease when the quark mass increases. For the quark with zero mass, we obtain mo2 = g（qσuvGuvq）/（qq） 0.68 GeV2, which is in good agreement with the QCD sum rules estimate mo2=（0.8± 0.2） GeV2.
基金Supported in part by the Key Research Plan of Theoretical Physics and Cross Science of China under Grant No.90503011National Natural Science Foundation under Grant No.10775012
文摘Using the Schwinger Dyson equation and perturbation theory,we calculate the two-quark condensates forthe light quarks u,d,strange quark s and a heavy quark c with their current masses respectively.The results show thatthe two-quark condensate will decrease when the quark mass increases,which hints the chiral symmetry may be restoredfor the heavy quarks.
基金Supported by National Natural Science Foundation of ChinaSpecialized Research Fund for the DoctoralProgram of High Eduction+1 种基金Science and Technology Foundation of Shanghai Shanghai Higher Eduction Project(03DZ04)
文摘证明了一类约束矩阵方程 WAWXWBW = D, R(X) ? R[(AW)k1], N(X) ? N[(WB)k?2]有唯一解并给出其解的Cramer法则,其中A ∈ Cm , W ∈ Cn ×n ×m , Ind(AW) = k1, Ind(BW) =k?1, B ∈ Cp , W ∈ Cq , Ind(WA) = k2, Ind(WB) = k?2, and D ∈ Cn , R(D) ? ×pR[(WA)k2], N(D) ? N[(BW)k?1].
