标题： 费米子凝聚和均匀与非均匀磁场在(2+1)维中引起的真空电流密度 显示英文标题

标题： Fermion Condensate and Vacuum Current Density Induced by Homogeneous and Inhomogeneous Magnetic Fields in (2+1)-Dimensions

摘要： 我们计算了在(2+1)维中由外部静态磁场引起的凝聚和真空电流密度。 在微扰层次上，我们考虑了一个沿一个笛卡尔坐标呈指数衰减的磁场。 非微扰地，我们通过在彩虹-阶梯近似下求解施温格-戴森方程，得到了均匀磁场存在下的费米子传播子。 在大通量极限下，我们观察到这两个量，无论是微扰的（非均匀的）还是非微扰的（均匀的），都与外部场成正比，这与早期的预期一致。 显示英文摘要

摘要： We calculate the condensate and the vacuum current density induced by external static magnetic fields in (2+1)-dimensions. At the perturbative level, we consider an exponentially decaying magnetic field along one cartesian coordinate. Non-perturbatively, we obtain the fermion propagator in the presence of a uniform magnetic field by solving the Schwinger-Dyson equation in the rainbow-ladder approximation. In the large flux limit, we observe that both these quantities, either perturbative (inhomogeneous) and non-perturbative (homogeneous), are proportional to the external field, in agreement with early expectations.