Results 21 to 30 of about 18,744 (207)
FLAT SPACE MODIFIED PARTICLE DYNAMICS INDUCED BY LOOP QUANTUM GRAVITY [PDF]
The Tenth Marcel Grossmann Meeting, 2006 Starting from an heuristic approach to the semiclassical limit in loop quantum gravity, the construction of effective Hamiltonians describing Planck length corrections to the propagation of photons and spin 1/2 fermions, leading to modified energy-momentum relations, is summarized.
Luis F. Urrutia
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The Kantowski-Sachs Space-Time in Loop Quantum Gravity [PDF]
International Journal of Theoretical Physics, 2004 7 pages, latex.
Leonardo Modesto
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Continuous formulation of the Loop Quantum Gravity phase space [PDF]
Classical and Quantum Gravity, 2011 In this paper, we study the discrete classical phase space of loop gravity, which is expressed in terms of the holonomy-flux variables, and show how it is related to the continuous phase space of general relativity. In particular, we prove an isomorphism between the loop gravity discrete phase space and the symplectic reduction of the continuous phase ...
Laurent Freidel +2 more
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Moduli Structures, Separability of the Kinematic Hilbert Space and Frames in Loop Quantum Gravity [PDF]
, 2016 We reassess the problem of separability of the kinematic Hilbert space in loop quantum gravity under a new mathematical point of view. We use the formalism of frames, a tool used in signal analysis, in order to remove the redundancy of the moduli structures in high valence graphs, without resorting to set extension of diffeomorphism group. For this, we
Bruno Carvalho, Daniel H. T. Franco
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Black Holes in Loop Quantum Gravity: The Complete Space-Time [PDF]
Physical Review Letters, 2008 We consider the quantization of the complete extension of the Schwarzschild space-time using spherically symmetric loop quantum gravity. We find an exact solution corresponding to the semi-classical theory. The singularity is eliminated but the space-time still contains a horizon.
Rodolfo Gambini, Jorge Pullin
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Loop quantum gravity on non-compact spaces [PDF]
Nuclear Physics B, 2000 We present a general procedure for constructing new Hilbert spaces for loop quantum gravity on non-compact spatial manifolds. Given any fixed background state representing a non-compact spatial geometry, we use the Gel'fand-Naimark-Segal construction to obtain a representation of the algebra of observables.
Matthias Arnsdorf, Sameer Gupta
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Separable Hilbert space in Loop Quantum Gravity [PDF]
Journal of Mathematical Physics, 2004 We study the separability of the state space of loop quantum gravity. In the standard construction, the kinematical Hilbert space of the diffeomorphism-invariant states is nonseparable. This is a consequence of the fact that the knot space of the equivalence classes of graphs under diffeomorphisms is noncountable.
Winston J. Fairbairn, Carlo Rovelli
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Loop Quantum Gravity and Asymptotically Flat Spaces [PDF]
The Ninth Marcel Grossmann Meeting, 2000 After motivating why the study of asymptotically flat spaces is important in loop quantum gravity, we review the extension of the standard framework of this theory to the asymptotically flat sector based on the GNS construction. In particular, we provide a general procedure for constructing new Hilbert spaces for loop quantum gravity on non-compact ...
Matthias Arnsdorf
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When do measures on the space of connections support the triad operators of loop quantum gravity? [PDF]
Journal of Mathematical Physics, 2011 In this work we investigate the question under what conditions Hilbert spaces that are induced by measures on the space of generalized connections carry a representation of certain non-Abelian analogues of the electric flux. We give the problem a precise mathematical formulation and start its investigation.
Hanno Sahlmann
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On the space of generalized fluxes for loop quantum gravity [PDF]
Classical and Quantum Gravity, 2013 We show that the space of generalized fluxes - momentum space - for loop quantum gravity cannot be constructed by Fourier transforming the projective limit construction of the space of generalized connections - position space - due to the non-abelianess of the gauge group SU(2).
B Dittrich, C Guedes, D Oriti
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