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arXiv 2109.04823hep-thhep-ph
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大$N$外场量子电动力学

Large $N$ external-field quantum electrodynamics

Felix Karbstein

摘要:

我们提倡用$N$带电粒子味研究外场量子电动力学。我们的主要重点是在大$N$限制,收到所有的循环订单的贡献,这个理论的海森堡-欧拉有效的行动。超出一个循环的贡献源于一粒子可约图。我们表明,特别是在恒定的电磁场,后者是由一个循环的海森堡-欧拉有效拉格朗日。因此,在这种情况下,大的$N$海森堡-欧拉有效作用量可以在任何所需的循环阶数下明确地确定。我们证明了进一步的分析见解是可能的电和磁场的配置,其特征在于消失的一个长期不变的电磁场和工作的所有订单强场极限的理论。

英文摘要:

We advocate the study of external-field quantum electrodynamics with $N$ charged particle flavors. Our main focus is on the Heisenberg-Euler effective action for this theory in the large $N$ limit which receives contributions from all loop orders. The contributions beyond one loop stem from one-particle reducible diagrams. We show that specifically in constant electromagnetic fields the latter are generated by the one-loop Heisenberg-Euler effective Lagrangian. Hence, in this case the large $N$ Heisenberg-Euler effective action can be determined explicitly at any desired loop order. We demonstrate that further analytical insights are possible for electric-and magnetic-like field configurations characterized by the vanishing of one of the secular invariants of the electromagnetic field and work out the all-orders strong field limit of the theory.

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