Quantum Gravity: Conclusion

By Carlo Rovelli. 2004

1,894 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/84ccb314c5610a05e0c48ccac929557528422e19

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Citations in the corpus

Algebraic quantum gravity (AQG): I. Conceptual setup (2006, background): “ls. We want to show that AQG is a canonical quantisation of classical General Relativity including matter. The canonical formulation of classical GR in the form we need it is reviewed for instance in [1]. To begin with, the classical theory is formulated on manifolds diﬀeomorphic to R × σwhere σ is ”
Introduction to Loop Quantum Cosmology (2011, methodology): “Loop quantum gravity (LQG) [1, 2, 3] is an attempt to construct a mathematically rigorous, non-perturbative, background independent formulation of quantum general relativity.”
Loop quantum black hole (2005, methodology): “of the Hamiltonian constraint in the dual to kinematical Hilbert space. 1 1 Classical theory In this section ﬁrst of all we summarize the fundamental Hamiltonian formulation of “loop quantum gravity” [2] then we recall the formulation of the Kantowski-Sachs space-time in Aschtekar variables [8]. At ”
Anomaly freedom in perturbative loop quantum gravity (2008, background): “e extended to constrained systems, where they provide eﬀective constraints for the state parameters [8]. Thus, all ingredients are given which are necessary for an application to loop quantum gravity [9, 10, 11] and a derivation of its eﬀects. Due to the complexity of the problem, there is no comple”
A glance beyond the quantum model (2009, background): “Currently, there are several approaches in this direction, such as string theory (Polchinski 1998) or loop quantum gravity (Thiemann 2003; Rovelli 2004; Smolin 2004).”
Algebraic quantum gravity (AQG): IV. Reduced phase space quantization of loop quantum gravity (2007, methodology): “– Mills gauge invariant due to the term proportional to the Gauss constraint gY M I = ∂ae a I +ǫIJKa J ae a K (3.4) Likewise, the geometry contribution cgeo to ccontains a term proportional to ggeo I [12] (however, c Y M does not). As far as the deﬁnition of the complete constraint surface is concer”
Disappearance of the black hole singularity in loop quantum gravity (2004, background): “. Introduction A remarkable result of loop quantum cosmology [2] is the disappearance of the initial cosmological singularity present in the classical theory. The main results of loop quantum gravity [3], indeed, are the quantization of area and volume partial observables [4], which suggest that in ”
Loop Quantum Cosmology (2005, background): “10, 11, 12, 13, 14, 15, 16]. For complementary applications of loop quantum gravity to cosmology see [17, 18, 19, 20, 21, 22]. 3 3 Loop quantum gravity Since many reviews of full loop quantum gravity [3, 5, 4, 6, 23] as well as shorter accounts [24, 25, 26, 27, 28, 29] are already available, we desc”
Introduction to loop quantum gravity and spin foams (2004, positive): “lemented in a systematic way directly on the spin foam conﬁgurations that deﬁne Ptopo113,114. In Ptopo spin foams are labelled with spins corresponding to the unitary irreducible representations of SO(4) (given by two spin quantum numbers (jR,jL)). Essentially, the factor ‘δ(B→ ǫIJKLeK ∧ eL)’ restri”