Maxwell-Chern-Simons QED3中的规范协方差关系和费米子算符
Gauge Covariance Relations and the Fermion Propagator in Maxwell-Chern-Simons QED3
摘要：
我们研究了麦克斯韦-陈-西蒙斯平面量子电动力学（QED $_3$）中费米子传播子的规范协方差，考虑费米子和光子的宇称偶质量项和宇称奇质量项的四分量旋量。从它在Landau规范中的树级表示出发，利用它的Landau-Khalatnikov-Fradkin变换（LKFT），我们导出了它在任意协变规范中的非微扰表示。我们比较我们的研究结果在弱耦合制度与直接单圈计算的两点格林函数和观察完美的协议，规范独立项。我们还重现了在早期的作品作为我们的研究结果的特殊情况下得出的结果。
英文摘要：
We study the gauge covariance of the fermion propagator in Maxwell-Chern-Simons planar quantum electrodynamics (QED$_3$) considering four-component spinors with parity-even and parity-odd mass terms both for fermions and photons. Starting with its tree level expression in the Landau gauge, we derive a non perturbative expression for this propagator in an arbitrary covariant gauge by means of its Landau-Khalatnikov-Fradkin transformation (LKFT). We compare our findings in the weak coupling regime with the direct one-loop calculation of the two-point Green function and observe perfect agreement up to a gauge independent term. We also reproduce results derived in earlier works as special cases of our findings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
