FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY

By Muxin Han, Weiming Huang, Yongge Ma. 2005

258 citations recorded by the source corpus.

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 ...

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fa2b7bb444a86eb6ceee3d4e338efb371a6bffad

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In Astronomy and Astrophysics

  1. Kinjal Banerjee
  2. M. Mart'in-Benito
  3. Gianluca Calcagni
  4. S. Mukohyama
  5. Yi-Fu Cai

In Nuclear and High Energy Physics

  1. Kinjal Banerjee
  2. M. Mart'in-Benito
  3. Gianluca Calcagni
  4. S. Mukohyama
  5. Yi-Fu Cai

In Statistical and Nonlinear Physics

  1. Kinjal Banerjee
  2. M. Mart'in-Benito
  3. Gianluca Calcagni
  4. S. Mukohyama
  5. Yi-Fu Cai

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