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

Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature
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有限温度下戴森-施温格方程中夸克和胶子真空凝聚态的温度依赖性

DOI:
10.1088/1674-1137/39/3/033101
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发表时间:
2015-03
期刊:
影响因子:
3.6
通讯作者:
Ma Wei-Xing
Ma Wei-Xing
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Zhou Li-Juan;Zheng Bo;Zhong Hong-Wei;Ma Wei-Xing

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从Dyson-Schwinger方程出发,分别在零温和有限温条件下,通过彩虹截断求解Dyson-Schwinger方程,研究了非微扰QCD真空态下的双夸克真空凝聚、四夸克真空凝聚和夸克胶子混合真空凝聚.这些凝聚体是零温和有限温QCD求和规则的重要输入参数,也是研究强子物理和预测QCD真空态中夸克均方动量m(0-)(2)(又称夸克虚性)的重要输入参数。计算结果表明,这些物理量既可以作为一个物理量,也可以作为一个物理量。在临界点温度T-c = 131 MeV以下,手征对称性几乎与温度无关,在T-c以上,手征对称性恢复。为了比较,我们计算了π介子的“内强子凝聚”的温度依赖性。同时,我们还利用这些凝聚计算了夸克胶子混合真空凝聚与双夸克真空凝聚的比值,得到了QCD真空态中未知的夸克均方动量。结果表明,在0 ~ Tc的温度范围内,尽管夸克真空凝聚和夸克胶子混合真空凝聚有剧烈的变化,但m(0)(2)(T)的比值几乎是平坦的.我们预测的比在手征极限下为m(0)(2)(T)=2.41 GeV 2,这与其他理论模型的预测一致,并强烈表明夸克胶子混合真空凝聚在虚拟计算中发挥的重要作用。
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 az. almost independent of the temperature below the critical point temperature T-c = 131 MeV, and above T-c the 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 GeV2 at 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.
DOI: 10.1016/0550-3213(79)90022-1
发表时间: 1979-01-01
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