论文标题
量子淬灭，大N和对称恢复
Quantum quench, large N, and symmetry restoration
论文作者
论文摘要
我们在全球范围内通过使四个无质量的质量费米子（许多口味）的理论与四分之一的相互作用进行了使四分之一的相互作用的理论通过使四分之一的耦合的平滑函数。在衍生化膨胀中工作，我们表明，在GROSS-NEVEU模型的情况下，离散的Z2对称性，以及在Nambu-Jona-lasinio模型的情况下，U（1）对称性在零温度的淬灭过程中恢复。对于总体模型，我们表明这可以理解为有效的热化。对称恢复的时间显示了淬火速率的缩放时间。我们在问题中使用kibble-zurek缩放来确定这一点。在合适的双缩放限制中，可以从liouville量子力学来理解对称性恢复。
We globally quench the theory of two dimensional massless fermions (many flavours) with quartic interactions by making the quartic coupling a smooth function of time. Working in a derivative expansion we show that the discrete Z2 symmetry in case of the Gross-Neveu model, and the U(1) symmetry in case of the Nambu-Jona-Lasinio model, are restored during the zero-temperature quench. For the Gross-Neveu model we show that this can be understood as an effective thermalization. The time of symmetry restoration shows scaling with the quench rate. We identify this with the Kibble-Zurek scaling in the problem. In a suitable double scaling limit, the symmetry restoration may be understood in terms of Liouville quantum mechanics.
