量子色动力学中Schwinger-Dyson方程解的适定性

Abstract

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 T_c, 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.

Key words: Quantum chromodynamics, Schwinger-Dyson equations, Sub and super solution method

CLC Number:

O175.2

Feng Hu,Ruifeng Zhang. Well-Posedness of the Solution of Schwinger-Dyson Equation in Quantum Chromodynamics[J].Acta mathematica scientia,Series A, 2020, 40(1): 234-242.

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References 16

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Well-Posedness of the Solution of Schwinger-Dyson Equation in Quantum Chromodynamics

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