| 量子色动力学中Schwinger-Dyson方程解的适定性 |
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| 引用本文： | 胡凤,张瑞凤.量子色动力学中Schwinger-Dyson方程解的适定性[J].数学物理学报(A辑),2020(1):234-242. |
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| 作者姓名： | 胡凤 张瑞凤 |
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| 作者单位： | 河南大学国际教育学院;河南大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金(11471099,11671120)。 |
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| 摘 要： | 该文研究了在有限温度下量子色动力学中一类Schwinger-Dyson积分方程问题,利用积分方程理论和泛函分析,得到了积分方程解的适定性.进一步,该文证明了手征对称性破缺、保持在量子色动力学中状态转变的临界温度Tc的存在唯一性.
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| 关 键 词： | 量子色动力学 Schwinger-Dyson方程 上下解方法 |
Well-Posedness of the Solution of Schwinger-Dyson Equation in Quantum Chromodynamics |
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| Hu Feng,Zhang Ruifeng.Well-Posedness of the Solution of Schwinger-Dyson Equation in Quantum Chromodynamics[J].Acta Mathematica Scientia,2020(1):234-242. |
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| Authors: | Hu Feng Zhang Ruifeng |
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| Institution: | (International Education College,Henan University,Henan Kaifeng 475001;College of Mathematics and Statistics,Henan University,Henan Kaifeng 475004) |
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| Abstract: | In this paper,we study the Schwinger-Dyson integral equation in quantum chromodynamics under the condition of the finite-temperature.Applying the theory of integral equation and functional analysis,we get the well-posedness of the solution of Schwinger-Dyson integral equation.Furthermore,we prove the existence and uniqueness of critical temperature Tc,which separates the low-temperature phase where the chiral symmetry is spontaneously broken from the high-temperature phase where the chiral symmetry restores in quantum chromodynamics. |
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| Keywords: | Quantum chromodynamics Schwinger-Dyson equations Sub and super solution method |
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