Results 101 to 110 of about 67,287 (207)
Spherically symmetric canonical quantum gravity
Physical Review D, 2015 Canonical quantization of spherically symmetric space-times is carried out, using real-valued densitized triads and extrinsic curvature components, with specific factor ordering choices ensuring in an anomaly free quantum constraint algebra. Comparison with previous work [1] reveals that the resulting physical Hilbert space has the same form, although ...
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A Lorentz-Covariant Connection for Canonical Gravity
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We construct a Lorentz-covariant connection in the context of first order canonical gravity with non-vanishing Barbero-Immirzi parameter. To do so, we start with the phase space formulation derived from the canonical analysis of the Holst action in which
Marc Geiller +3 more
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Asymptotic safety and canonical quantum gravity
International Journal of Modern Physics AIn the context of gravity the Lagrangian and Hamiltonian formalisms have been developed largely independently, emphasizing renormalization and quantization, respectively. The formalisms use a different methodology to distinguish between gauge and physical degrees of freedom.
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Non-commutative holonomies in 2+1 LQG and Kauffman's brackets
, 2011 We investigate the canonical quantization of 2+1 gravity with {\Lambda} > 0 in the canonical framework of LQG. A natural regularization of the constraints of 2+1 gravity can be defined in terms of the holonomies of A\pm = A \PM \surd{\Lambda}e, where the
A Perez +6 more
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Relational Observables in Gravity: a Review
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We present an overview on relational observables in gravity mainly from a loop quantum gravity perspective. The gauge group of general relativity is the diffeomorphism group of the underlying manifold.
Johannes Tambornino
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The Holst spin foam model via cubulations
New Journal of Physics, 2012 Spin foam models are an attempt at a covariant or path integral formulation of canonical loop quantum gravity. The construction of such models usually relies on the Plebanski formulation of general relativity as a constrained BF theory and is based on ...
Aristide Baratin +2 more
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The Conformal Constraint in Canonical Quantum Gravity [PDF]
, 2010 Perturbative canonical quantum gravity is considered, when coupled to a renormalizable model for matter fields. It is proposed that the functional integral over the dilaton field should be disentangled from the other integrations over the metric fields ...
Hooft, Gerard 't
core
Dynamics of loop quantum gravity and spin foam models in three dimensions
, 2004 We present a rigorous regularization of Rovellis's generalized projection operator in canonical 2+1 gravity. This work establishes a clear-cut connection between loop quantum gravity and the spin foam approach in this simplified setting.
Noui, Karim, Perez, Alejandro
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Symmetric configurations highlighted by collective quantum coherence
European Physical Journal C: Particles and Fields, 2017 Recent developments in quantum gravity have shown the Lorentzian treatment to be a fruitful approach towards the emergence of macroscopic space-times. In this paper, we discuss another related aspect of the Lorentzian treatment: we argue that collective ...
Dennis Obster, Naoki Sasakura
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Nonlinear quantum gravity on the constant mean curvature foliation
, 2004 A new approach to quantum gravity is presented based on a nonlinear quantization scheme for canonical field theories with an implicitly defined Hamiltonian.
Arnowitt R +45 more
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