Modern Canonical Quantum General Relativity: References

By T. Thiemann. 2007

726 citations recorded by the source corpus.

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Citations in the corpus

Partial and complete observables for canonical general relativity (2005, methodology): “l also change as well as the lapse and shift functions. In particular consider a family of embeddings of Σ with: Zµ(ε,σ) = Zµ(0,σ) +εΛ(σ)nµ(z) |zν=Zν(0,σ) +εΛ a(σ)Zµ a(0,σ) +O(ε2) . (45) One can show [11, 3] that the induced canonical data on Σ for parameter value s= εare given by g ab(ε,σ) ≃ g ab(0”
Scalar material reference systems and loop quantum gravity (2012, methodology): “in [11, 12] and construct general observables with respect to the Hamiltonian constraint. The reduced phase space described in [17, 18] was then quantised using the technology of Loop Quantum Gravity [19, 20] in [21] and thus providing for the ﬁrst time a concrete model for LQG where all constraints”
Edge modes of gravity. Part I. Corner potentials and charges (2020, methodology): “ollows simply from the fact that the Holst term in the bulk can be written as a boundary term using the identity20 2det(ei a)ea i i a[e] = d(ei^e i), where i a[e] is the torsionless spin connection [117,118]. This has also been used in studies of isolated horizons in LQG [14]. Moreover, it is the ce”
FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY (2005, background): “, for simplicity, we will skip the complicated proofs of many important statements. One may ﬁnd the missing details in the references cited. Thus our review will not be comprehensive. We refer to Ref.[124] for a more detailed exploration, Refs. [17] and [126] for more advanced topics. It turns out t”
Bouncing cosmology in f(Q) symmetric teleparallel gravity (2020, unknown): “It reads as [67, 68]:”
Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety (2009, background): “(i) One can try to deﬁne the theory, and work out its implications, without ever employing a background metric or asimilar nondynamical structure. While this is the path taken in loop quantum gravity [2, 3, 4] and the discrete approaches [41],[42]-[44], for instance, it seems very hard , if not impo”
Disappearance and emergence of space and time in quantum gravity (2013, unknown): “Loop quantum gravity [2] started off as a canonical quantization of continuum GR reformulated in terms of first order variables, namely a Lorentz connection and a triad field, defining the phase space of the theory.”
Twisted geometries: A geometric parametrisation of SU(2) phase space (2010, background): “The complete phase space of the theory is recovered taking the union over all possible graphs [18].”
Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates (2016, methodology): “In particular, these considerations are relevant for loop quantum gravity (LQG) [5– 7] which, despite its historical roots as a canonical quantization of general relativity in connection variables, ends up with fundamental quantum degrees of freedom which are purely combinatorial and algebraic (e.”