标题： 均匀磁场对QED中动态手征对称性破缺的影响$_3$ 显示英文标题

标题： Influence of a uniform magnetic field on dynamical chiral symmetry breaking in QED$_3$

摘要： 我们研究在均匀磁场下，d波高温铜氧化物超导体的有效QED$_{3}$理论中的动态手征对称性破缺（DCSB）。 在零温度下，外部磁场通过在带电空穴凝聚体中产生涡旋而诱导出混合态。 随着磁场的增强，超流密度被抑制，从而降低了通过安德森-希格斯机制打开的规范场质量。 通过数值求解Dyson-Schwinger能隙方程，我们表明当磁场强度$H$高于临界值$H_{c}$且费米子味数$N$低于临界值$N_{c}$时，无质量费米子会通过DCSB机制获得动态能隙。 进一步发现，$N_{c}$和动态费米子能隙都会随着磁场$H$的增大而增加。 预计我们的结果可以在高温铜氧化物超导体的现象中得到验证。 显示英文摘要

摘要： We study dynamical chiral symmetry breaking (DCSB) in an effective QED$_{3}$ theory of d-wave high temperature cuprate superconductors under a uniform magnetic field. At zero temperature, the external magnetic field induces a mixed state by generating vortices in the condensate of charged holons. The growing magnetic field suppresses the superfluid density and thus reduces the gauge field mass which is opened via the Anderson-Higgs mechanism. By numerically solving the Dyson-Schwinger gap equation, we show that the massless fermions acquires a dynamical gap through DCSB mechanism when the magnetic field strength $H$ is above a critical value $H_{c}$ and the fermion flavors $N$ is below a critical value $N_{c}$. Further, it is found that both $N_{c}$ and the dynamical fermion gap increase as the magnetic field $H$ grows. It is expected that our result can be tested in phenomena in high temperature cuprate superconductors.