Fermion production from real-time lattice gauge theory in the classical-statistical regime

Fermion production from real-time lattice gauge theory in the classical-statistical regime
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DOI:
10.1103/physrevd.90.025016
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发表时间:
2014-03
期刊:
影响因子:
5
通讯作者:
V. Kasper;F. Hebenstreit;J. Berges
V. Kasper;F. Hebenstreit;J. Berges
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
V. Kasper;F. Hebenstreit;J. Berges

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我们研究了格点上U(1)和SU(N)规范理论与费米子耦合的实时动力学。虽然实时格点规范理论不适合标准的重要性采样技术,但对于一大类依赖于时间的问题,量子动力学可以精确地映射到经典统计系综上。我们说明了真正的量子贡献包括在本说明中给出一个图形表示在一个系列的扩展。非微扰模拟方法,然后应用到电子,正电子的产生在三维空间的量子电动力学。我们比较了恒定背景场的解析结果,并论证了产生的费米子对对规范场的反作用的重要性。
We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling techniques, for a large class of time-dependent problems the quantum dynamics can be accurately mapped onto a classical-statistical ensemble. We illustrate the genuine quantum contributions included in this description by giving a diagrammatic representation in a series expansion. The nonperturbative simulation method is then applied to electron-positron production in quantum electrodynamics in three spatial dimensions. We compare to analytic results for constant background field and demonstrate the importance of backreaction of the produced fermion pairs on the gauge fields.