论文标题
Euler-Heisenberg Lagrangian在轴向尺度下
Euler-Heisenberg Lagrangian under an axial gauge field
论文作者
论文摘要
研究了在恒定背景轴向仪表下的Euler-Heisenberg Lagrangian（QED一环有效作用）。两种特殊的配置承认了增强狄拉克操作员的精确特征组合，因此作为光谱总和的有效作用：一个具有手性化学势的磁场，另一个具有带有空间轴向仪表的电场，类似于新出现的涡度。对于后者，发现了Schwinger对生产的增强，它使用Worldline Instanton形式主义进行了更充分的分析。在那里发现总体增强率是由于空间轴向仪表作为负质量转移。最后，我们在任意电磁和轴向测量值的确切可解决的无质量案例上进行评论。
Augmentations to the Euler-Heisenberg Lagrangian (QED one-loop effective action in homogeneous electromagnetic fields) under a constant background axial gauge are examined. Two special configurations admit an exact eigendecomposition, and hence effective action as a spectral sum, of the augmented Dirac operator: one with a magnetic field with chiral chemical potential, and the other with an electric field with spatial axial gauge, which resembles an emergent vorticity. An enhancement to Schwinger pair production is found for the latter, which is more fully analyzed using the worldline instanton formalism. There it is found the overall enhancement is due to the spatial axial gauge serving as a negative mass shift. Finally, we remark on the exactly solvable massless case for arbitrary electromagnetic and axial gauges.
