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三维QED中的动力学手征对称破缺(英文)
引用本文:周雨青.三维QED中的动力学手征对称破缺(英文)[J].东南大学学报,2014(4):544-549.
作者姓名:周雨青
作者单位:东南大学物理系,南京,211189
基金项目:The National Natural Science Foundation of China No.10947127 the Science Foundation of Southeast University No.11047005
摘    要:为了研究非微扰理论中的传播子行为,以及协变规范对其行为的影响,以常用的截断方案下的DysonSchw inger方程为基础,采用数值联立求解的方法研究了三维量子电动力学(QED)中的费米子和玻色子的行为,并获得了一系列不同规范下费米传播子在Nambu和Wigner相中的自洽解.对这些数值解的分析表明,远离Landau规范的红外区处,传播子行为明显不同于Landau规范中的行为.基于Nambu和Wigner相中的不同规范下的传播子,进一步对等效压力差和费米凝聚随规范参数的变化做了比较,结果表明,采用CJT等效势描述的相变与手征凝聚描述的手征相变两者之间不完全自洽.

关 键 词:传播子  协变规范  三维QED  等效压力差  费米凝聚  手征相变

Dynamical chiral symmetry breaking in QED3
Zhou Yuqing.Dynamical chiral symmetry breaking in QED3[J].Journal of Southeast University(English Edition),2014(4):544-549.
Authors:Zhou Yuqing
Institution:Zhou Yuqing (Department of Physics, Southeast University, Nanjing 211189, China)
Abstract:In order to examine how a propagator behaves in non-perturbative theories and how its behavior is influenced by the choice of a covariant gauge a truncated Dyson-Schwinger equation is used to numerically investigate the properties of fermions and bosons in 3D quantum electrodynamics QED and a series of self-consistent solutions for the fermion propagator in the Nambu and Wigner phases are obtained. These numerical solutions show that the propagator behaves very differently in the Landau gauge domain and in the infrared energy region outside it.By using the propagators in the Nambu and Wigner phases under various gauges it is further investigated how the fermion equivalent pressure difference and fermion condensation change with the gauge parameters.These results indicate that the phase transition described by the CJT equivalent potential and the chiral phase transition described by the chiral condensation are not completely identical.
Keywords:propagator  covariant gauge  3D quantum electrodynamics QED  equivalent pressure difference  fermion condensation  chiral phase transition
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