论文标题
在恒定的电背景下的旋转电场电流和能量弹药张量的真空平均值计算
Calculations of vacuum mean values of spinor field current and energy-momentum tensor in a constant electric background
论文作者
论文摘要
在具有$ x $ steps的强场QED的框架中，我们研究了当前密度和能量的真空平均值 - 量化的旋转型场的量子张量，放置在所谓的$ l $ constant电气背景中。例如，后者可以理解为限制电容器板之间的电场，后者被足够大的距离$ l $隔开。首先，我们揭示了具有$ x $ steps的强场QED中平均值的非扰动计算的特殊性，尤其是$ l $ constant的电场。我们提出了一种新的重新归一化和体积正则化程序，足以适合这些计算。我们发现在考虑的外部背景中，奇异纺纱函数的必要表示形式。在他们的帮助下，我们计算上述真空均值。在获得的表达式中，我们展示了如何由于真空极化引起的粒子创造和局部贡献而分离全局贡献。我们演示了这些贡献如何与重新归一化的有效的海森堡 - 欧拉·拉格朗日人有关。
In the framework of strong-field QED with $x$-steps, we study vacuum mean values of the current density and energy--momentum tensor of the quantized spinor field placed in the so-called $L$-constant electric background. The latter background can be, for example, understood as the electric field confined between capacitor plates, which are separated by a sufficiently large distance $L$. First, we reveal peculiarities of nonperturbative calculating of mean values in strong-field QED with $x$-steps in general and, in the $L$-constant electric field, in particular. We propose a new renormalization and volume regularization procedures that are adequate for these calculations. We find necessary representations for singular spinor functions in the external background under consideration. With their help, we calculate the above mentioned vacuum means. In the obtained expressions, we show how to separate global contributions due to the particle creation and local ones due to the vacuum polarization. We demonstrate how these contributions can be related to the renormalized effective Heisenberg-Euler Lagrangian.
