FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY
FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY
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DOI：
10.1142/s0218271807010894
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发表时间：
2005-09
影响因子：
2.2
通讯作者：
Muxin Han;Weiming Huang;Yongge Ma
中科院分区：
文献类型：
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作者：
Muxin Han;Weiming Huang;Yongge Ma
近二十年来，圈量子引力作为一种独立于背景的统一广义相对论和量子力学的方法得到了广泛的研究。圈量子引力的目标是为四维流形上的洛伦兹引力场构建数学上严格的、背景无关的、非微扰的量子理论。在这种方法中，量子力学原理与广义相对论原理自然地结合在一起。这样的组合为我们提供了一幅所谓的量子黎曼几何的图景，它在基本尺度上是离散的。与经典约束类似地施加量子约束，引力的量子动力学正在作为圈量子引力中最重要的问题之一进行研究。另一方面，正在进行半经典分析，以检验量子理论的经典极限。在这篇综述中，从教学角度介绍了圈量子引力的基本结构。我们的主要目标是帮助...
In the recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous, background independent, non-perturbative quantum theory for a Lorentzian gravitational field on a four-dimensional manifold. In the approach, the principles of quantum mechanics are combined with those of general relativity naturally. Such a combination provides us a picture of, so-called, quantum Riemannian geometry, which is discrete on the fundamental scale. Imposing the quantum constraints in analogy from the classical ones, the quantum dynamics of gravity is being studied as one of the most important issues in loop quantum gravity. On the other hand, the semi-classical analysis is being carried out to test the classical limit of the quantum theory. In this review, the fundamental structure of loop quantum gravity is presented pedagogically. Our main aim is to help ...