论文标题
混合隧道，多色隧道和量子重力的路径积分
Path Integral for Mixed Tunneling, Polychronic Tunneling and Quantum Gravity
论文作者
论文摘要
多体系统中的量子隧穿比一体系统中的量子隧道更为平底。最具特色的现象是混合隧道，数十年来在许多领域进行了研究。例如，让我们考虑一个有两个耦合粒子的系统，其中只有一个感觉有潜在的障碍。这种系统的量子隧穿欧几里得或洛伦兹时代的演变都不描述，并且WKB波函数的指数变得复杂。最近，在量子重力中提出了类似的现象，即多色调隧道，该隧道在许多数量级上提高了元稳定真空的衰减速率。在本文中，我们提出了适用于此类系统的路径整体形式主义。形式主义可以直接扩展到量子重力，并对量子重力的时间问题产生一些影响。我们还讨论了与常规路径积分的可能关系。
Quantum tunneling in a many-body system is much more non-trivial than that in a one-body system. The most characteristic phenomenon is the mixed tunneling, which has been studied in many fields for decades. For instance, let us consider a system where there are two coupled particles and only one of them feels a potential barrier. Quantum tunneling of such a system is not described by either Euclidean or Lorentzian time evolution and the exponent of the WKB wave function becomes complex. Recently, a similar phenomenon, polychronic tunneling, has been proposed in quantum gravity, which enhances the decay rate of a meta-stable vacuum by many orders of magnitude. In this paper, we present path integral formalism that is applicable to such systems. The formalism can be directly extended to quantum gravity and has some implications on the problem of time in quantum gravity. We also discuss a possible relation to the conventional path integral.
