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Coherent states for quantum gravity: towards collective variables

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20698

Oriti,  Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons4297

Sindoni,  Lorenzo
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1202.0526
(Preprint), 524KB

CQG_29_13_135002.pdf
(beliebiger Volltext), 310KB

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Zitation

Oriti, D., Pereira, R., & Sindoni, L. (2012). Coherent states for quantum gravity: towards collective variables. Classical and quantum gravity, 29(10): 135002. doi:10.1088/0264-9381/29/13/135002.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-8441-3
Zusammenfassung
We investigate the construction of coherent states for quantum theories of connections based on graphs embedded in a spatial manifold, as in loop quantum gravity. We discuss the many subtleties of the construction, mainly related to the diffeomorphism invariance of the theory. Aiming at approximating a continuum geometry in terms of discrete, graph-based data, we focus on coherent states for collective observables characterizing both the intrinsic and extrinsic geometry of the hypersurface, and we argue that one needs to revise accordingly the more local definitions of coherent states considered in the literature so far. In order to clarify the concepts introduced, we work through a concrete example that we hope will be useful to applying coherent state techniques to cosmology.