关于某些大N矢量模型中的滚动、隧穿和衰减
On rolling, tunneling and decaying in some large N vector models
摘要：
在三维O（N）矢量模型的大N近似下研究了含时过程的各个方面。这些包括场的滚动，真空的隧穿和衰变。我们提出了一个精确的解决方案的量子共形的情况下，并找到一个解决方案，更一般的潜力时，总的变化的字段的值是小的。当考虑到场的时间依赖性时，特征时间被发现是较短的，在构建精确的大N有效势。我们表明，不同的近似产生相同的答案的有效性重叠的区域。这个势的数值解揭示了一种隧道效应，在这种隧道效应中，将真真空与假真空分开的气泡很厚。
英文摘要：
Various aspects of time-dependent processes are studied within the large N approximation of O(N) vector models in three dimensions. These include the rolling of fields, the tunneling and decay of vacua. We present an exact solution for the quantum conformal case and find a solution for more general potentials when the total change of the value of the field is small. Characteristic times are found to be shorter when the time dependence of the field is taken into account in constructing the exact large N effective potentials. We show that the different approximations yield the same answers in the regions of the overlap of the validity. A numerical solution of this potential reveals a tunneling in which the bubble that separates the true vacuum from the false one is thick.
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