论文标题
QED中的电子 - 光子顶点和动力学手性对称性破坏：仪表不变性的高级研究
Electron-Photon Vertex and Dynamical Chiral Symmetry Breaking in Reduced QED: An Advanced Study of Gauge Invariance
论文作者
论文摘要
我们研究了精制电子顶点对减少量子电动力学中手性对称性的动态断裂的影响。我们为这个顶点构建了受过教育的{\ em ansatz}，该顶点满足了平等，时间逆转和充电共轭操作下所需的离散对称性。此外，它在弱耦合方案中再现其渐近扰动极限，并确保无质量电子传播器在其领先的对数扩增中可统一地统一。使用此顶点{\ em ansatz}，我们求解了间隙方程来计算动态生成的电子质量，该电子质量的依赖性被发现满足Miransky缩放定律。我们还研究了该动力学质量的量规依赖性以及手性对称性动态损坏的临界耦合的量表。作为对我们的顶点结构的试石测试，这两个量实际上是在一定程度上独立于协变量量规参数的值的一个间隔内独立于衡量的。
We study the effect of a refined electron-photon vertex on the dynamical breaking of chiral symmetry in reduced quantum electrodynamics. We construct an educated {\em ansatz} for this vertex which satisfies the required discrete symmetries under parity, time reversal and charge conjugation operations. Furthermore, it reproduces its asymptotic perturbative limit in the weak coupling regime and ensures the massless electron propagator is multiplicatively renormalizable in its leading logarithmic expansion. Employing this vertex {\em ansatz}, we solve the gap equation to compute dynamically generated electron mass whose dependence on the electromagnetic coupling is found to satisfy Miransky scaling law. We also investigate the gauge dependence of this dynamical mass as well as that of the critical coupling above which chiral symmetry is dynamically broken. As a litmus test of our vertex construction, both these quantities are rendered virtually gauge independent within a certain interval of values considered for the covariant gauge parameter.
