摘要
Schwinger-Dyson方程是量子场论中格林函数之间的一般关系,主要用于研究量子场论中的非微扰问题,如动力学手征自发对称性破缺等.本文研究描述费米子传播子的非线性Schwinger-Dyson方程,通过构造算子方程的上下解,证明了Schwinger-Dyson方程正解的存在性.
The Schwinger-Dyson equations are general relations between Green functions and are mainly used to study non-perturbative problems in quantum field theories,such as kinetic chiral Spontaneous symmetry breaking.Therefore,development of the nonlinear Schwinger-Dyson equation of the fermionic conduction was studied in this paper.The upper and lower solutions of the operator equation were constructed.Finally,based on the propositions obtained,the existence theorem of the positive solution was proved.
作者
张瑞凤
胡凤
李肖肖
王耀伟
ZHANG Ruifeng;HU Feng;LI Xiaoxiao;WANG Yaowei(Henan University School of mathematics and Statistics,Henan Kaifeng475004,China;Henan University International Education College,Henan Kaifeng475004,China)
出处
《河南大学学报（自然科学版）》
CAS
2019年第2期242-245,共4页
Journal of Henan University:Natural Science
基金
国家自然科学基金项目(11471099)
