CAJ | 학술논문

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Dyson－Schwinger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。
위료연구비미우이론중적전파자행위，이급협변규범대기행위적영향，이상용적절단방안하적Dyson－Schwinger방정위기출，채용수치련립구해적방법연구료삼유양자전동역학（ QED）중적비미자화파색자적행위，병획득료일계렬불동규범하비미전파자재Nambu화Wigner상중적자흡해。대저사수치해적분석표명，원리Landau규범적홍외구처，전파자행위명현불동우Landau규범중적행위。기우Nambu화Wigner상중적불동규범하적전파자，진일보대등효압력차화비미응취수규범삼수적변화주료비교，결과표명，채용CJT등효세묘술적상변여수정응취묘술적수정상변량자지간불완전자흡。
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.