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arXiv 1105.5546hep-phhep-lat
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重子生成模拟中的实时费米子

Real-time Fermions for Baryogenesis Simulations

Paul M. Saffin, Anders Tranberg

摘要:

我们研究如何在电弱重子生成的背景下数值模拟量子费米子的热平衡。我们发现,通过将Aarts和Smit [1]的晶格实现与Borsanyi和Hindmarsh [2]的“低成本”费米子相结合,我们能够描述与量子费米子耦合的经典玻色子系统的动力学,该系统正确地再现了异常重子数破坏。为了演示该方法,我们将其应用于1+1维轴向U(1)模型,并进行了快速对称性破缺跃迁的模拟。与[1]中求解所有量子模式方程相比,我们发现,当应用于3+1维物理时,这种统计方法可能会导致计算时间的显着增加。

英文摘要:

We study how to numerically simulate quantum fermions out of thermal equilibrium, in the context of electroweak baryogenesis. We find that by combining the lattice implementation of Aarts and Smit [1] with the "low cost" fermions of Borsanyi and Hindmarsh [2], we are able to describe the dynamics of a classical bosonic system coupled to quantum fermions, that correctly reproduces anomalous baryon number violation. To demonstrate the method, we apply it to the 1+1 dimensional axial U(1) model, and perform simulations of a fast symmetry breaking transition. Compared to solving all the quantum mode equations as in [1], we find that this statistical approach may lead to a significant gain in computational time, when applied to 3+1 dimensional physics.

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