Chinese Physics C > 2015, Vol. 39 > Issue(3): 033101 DOI: 10.1088/1674-1137/39/3/033101

Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature

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Based on the Dyson-Schwinger Equations (DSEs), the two-quark vacuum condensate, the four-quark vacuum condensate, and the quark gluon mixed vacuum condensate in the non-perturbative QCD vacuum state are investigated by solving the DSEs with rainbow truncation at zero- and finite-temperature, respectively. These condensates are important input parameters in QCD sum rule with zero and finite temperature, and in studying hadron physics, as well as predicting the quark mean squared momentum m ₀ ²-also called quark virtuality in the QCD vacuum state. The present calculated results show that these physical quantities are almost independent of the temperature below the critical point temperature T _c=131 MeV, and above T _cthe chiral symmetry is restored. For comparison we calculate the temperature dependence of the "in-hadron condensate" for pion. At the same time, we also calculate the ratio of the quark gluon mixed vacuum condensate to the two-quark vacuum condensate by using these condensates, and the unknown quark mean squared momentum in the QCD vacuum state has been obtained. The results show that the ratio m ₀ ²( T) is almost flat in the temperature region from 0 to T _c, although there are drastic changes of the quark vacuum condensate and the quark gluon mixed vacuum condensate at the region. Our predicted ratio comes out to be m ₀ ²( T)=2.41 GeV ²at the Chiral limit, which is consistent with other theory model predictions, and strongly indicates the significance that the quark gluon mixed vacuum condensate has played in the virtuality calculations.

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ZHOU Li-Juan, ZHENG Bo, ZHONG Hong-Wei and MA Wei-Xing. Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature[J]. Chinese Physics C, 2015, 39(3): 033101. doi: 10.1088/1674-1137/39/3/033101

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Received: 2014-03-28
Revised: 2014-08-20

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通讯作者:陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature

Received Date:2014-03-28

Accepted Date:2014-08-20

Available Online:2015-03-05

Abstract:Based on the Dyson-Schwinger Equations (DSEs), the two-quark vacuum condensate, the four-quark vacuum condensate, and the quark gluon mixed vacuum condensate in the non-perturbative QCD vacuum state are investigated by solving the DSEs with rainbow truncation at zero- and finite-temperature, respectively. These condensates are important input parameters in QCD sum rule with zero and finite temperature, and in studying hadron physics, as well as predicting the quark mean squared momentumm₀²-also called quark virtuality in the QCD vacuum state. The present calculated results show that these physical quantities are almost independent of the temperature below the critical point temperatureT_c=131 MeV, and aboveT_cthe chiral symmetry is restored. For comparison we calculate the temperature dependence of the "in-hadron condensate" for pion. At the same time, we also calculate the ratio of the quark gluon mixed vacuum condensate to the two-quark vacuum condensate by using these condensates, and the unknown quark mean squared momentum in the QCD vacuum state has been obtained. The results show that the ratiom₀²(T) is almost flat in the temperature region from 0 toT_c, although there are drastic changes of the quark vacuum condensate and the quark gluon mixed vacuum condensate at the region. Our predicted ratio comes out to bem₀²(T)=2.41 GeV²at the Chiral limit, which is consistent with other theory model predictions, and strongly indicates the significance that the quark gluon mixed vacuum condensate has played in the virtuality calculations.

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Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature

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Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature

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