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QED3中多重解和费米质量效应
引用本文:周雨青.QED3中多重解和费米质量效应[J].东南大学学报,2013(4):456-462.
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. 11047005), the Science Foundation of Southeast University. We would like to thank Professors Zong Hongshi and Sun Weimin for helpful discussions.
摘    要:由于低能区域内的非微扰效应不能忽略,使得QCD在处理粒子物理中的强子问题时非常困难,而QED有较成熟的非微扰模型,可以很好地处理夸克和胶子传播子在费米作用能方面的相关问题,因此本文采用QED,来处理费米凝聚问题.首先构建费米子所满足的Dyson-Schwinger方程,然后求解费米能隙.理论计算表明,在手征极限下该能隙方程存在3个解,而在超越手征极限下则存在2个解,这些解都对应于不同的费米凝聚.手征极限下的费米凝聚可用来分析3个相的存在,即反铁磁相、赝能级和超导态.而在超越手征极限下,发现存在2个费米子凝聚.

关 键 词:Dyson—Schwinger方程  手征极限  超越手征极限  费米子  凝聚  多重解  三维量子电动力学

Multiple solutions and fermion mass effect in QED3
Zhou Yuqing.Multiple solutions and fermion mass effect in QED3[J].Journal of Southeast University(English Edition),2013(4):456-462.
Authors:Zhou Yuqing
Institution:Zhou Yuqing (Department of Physics, Southeast University, Nanjing 211189, China)
Abstract:Due to the negligible non-perturbation effect in the low-energy region, quantum chromodynamics (QCD) is limited to be applied to hadron problems in particle physics. However, QED has mature non-perturbation models which can be applied to Fermi acting-energy between quark and gluon. This paper applies quantum electrodynamics in 2 + 1 dimensions (QED3) to the Fermi condensation problems. First, the Dyson-Schwinger equation which the fermions satisfy is constructed, and then the Fermi energy gap is solved. Theoretical calculations show that within the chirality limit, there exist three solutions for the energy gap; beyond the chirality limit, there are two solutions; all these solutions correspond to different fermion condensates. It can be concluded that the fermion condensates within the chirality limit can be used to analyze the existence of antiferromagnetic, pseudogap, and superconducting phases, and two fermion condensates are discovered beyond the chirality limit.
Keywords:Dyson-Schwinger equation  chiral limit  beyond chiral limit  fermion  condensate  multiple solutions  quantum electrodvnamics in 2 + 1 dimensions (OED3)
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