Quantum Gravity (Cambridge Monographs on Mathematical Physics)

By Claus Kiefer. 2005

229 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5e33f08a830230cd0a27e9d675cdd30d69650d9d

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In Astronomy and Astrophysics

In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Introduction to Loop Quantum Cosmology (2011, methodology): “Loop quantum gravity (LQG) [14, 111, 170, 186] is an attempt to construct a mathematically rigorous, non-perturbative, background independent formulation of quantum general relativity.”
Modern Tests of Lorentz Invariance (2005, background): “three general principles in general relativity relevant to Lorentz violation: general covariance (which implies both passive and active diffeomorphism invariance [247]), the equivalence principle, and lack of prior geometry.”
The Asymptotic Safety Scenario in Quantum Gravity (2006, background): “The term loop quantum gravity is by now used for a number of interrelated formulations (see [199] for a guide).”
Loop Quantum Cosmology (2005, background): “Since many reviews of full loop quantum gravity [172, 195, 22, 174, 161] as well as shorter accounts [9, 10, 173, 190, 167, 198] are already available, we describe here only those properties which will be essential later on.”
The asymptotic safety scenario in quantum gravity: an introduction (2006, unknown): “For book-sized expositions see, for example, [68, 125, 132].”
Analogue Gravity (2005, background): “The three main approaches to quantum gravity currently in vogue, “string models” (also known as “M-models”), “loop space” (and the related “spin foams”), and “lattice models” (Euclidean or Lorentzian) all share one feature: They attempt to develop a “pre-geometry” as a replacement for classical diff”
Loop Quantum Gravity (2003, unknown): “The peculiar way of describing time evolution in a general relativistic theory may require some appropriate variants of standard interpretations, such as Hartle’s generalized quantum mechanics [140], or a suitable generalization of canonical quantum theory [261, 243, 245, 242].”
Improved and Perfect Actions in Discrete Gravity (2009, background): “In order to improve the action Sd, which is a näıve discretization of the action (2.2) on the discretized interval {tn}, one needs to refine the interval by tn = t̃nM t̃nM+1 . . . t̃nM+(M−1) t̃(n+1)M = tn+1.”