Simulating fermion production in 1+1 dimensional QED
Simulating fermion production in 1+1 dimensional QED
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DOI：
10.1103/physrevd.87.105006
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发表时间：
2013-02
影响因子：
5
通讯作者：
F. Hebenstreit;J. Berges;D. Gelfand
中科院分区：
文献类型：
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作者：
F. Hebenstreit;J. Berges;D. Gelfand
我们利用实时晶格技术研究了1+1维QED中的费米子-反费米子产生。在这种非微扰方法中，费米子的全量子动力学被包括在内，而规范场动力学可以准确地表示由经典统计模拟相关的场强。我们计算非平衡时间演化的规范不变的相关函数实现“低成本”威尔逊费米子。通过引入Dirac-Heisenberg-Wigner函数的格点推广，我们在静态背景场的极限下恢复了1+1维的Schwinger公式。我们讨论了由于所产生的费米子-反费米子对的反作用而引起的场的衰减，并将这种方法应用于强非均匀规范场。后者使我们能够讨论一个惊人的现象，线性上升的潜力之间建立生产的费米子聚束后，最初的电脉冲停止。
We investigate fermion--anti-fermion production in 1+1 dimensional QED using real-time lattice techniques. In this non-perturbative approach the full quantum dynamics of fermions is included while the gauge field dynamics can be accurately represented by classical-statistical simulations for relevant field strengths. We compute the non-equilibrium time evolution of gauge invariant correlation functions implementing 'low-cost' Wilson fermions. Introducing a lattice generalization of the Dirac-Heisenberg-Wigner function, we recover the Schwinger formula in 1+1 dimensions in the limit of a static background field. We discuss the decay of the field due to the backreaction of the created fermion--anti-fermion pairs and apply the approach to strongly inhomogeneous gauge fields. The latter allows us to discuss the striking phenomenon of a linear rising potential building up between produced fermion bunches after the initial electric pulse ceased.