A spin foam model for general Lorentzian 4-geometries

A spin foam model for general Lorentzian 4-geometries

We derive simplicity constraints for the quantization of general Lorentzian 4-geometries. Our method is based on the correspondence between coherent states and classical bivectors and the minimization of associated uncertainties. For triangulations with spacelike triangles, this scheme agrees with t...

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Veröffentlicht in:Classical and quantum gravity 2010-09, Vol.27 (18), p.185011-185011
Hauptverfasser: Conrady, Florian, Hnybida, Jeff
Format: Artikel
Sprache:eng
Schlagworte:
Coherence
Exact sciences and technology
Foams
General relativity and gravitation
Mathematical models
Optimization
Physics
Quantum gravity
Triangles
Triangulation
Uncertainty
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container_title Classical and quantum gravity
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creator Conrady, Florian
Hnybida, Jeff
description We derive simplicity constraints for the quantization of general Lorentzian 4-geometries. Our method is based on the correspondence between coherent states and classical bivectors and the minimization of associated uncertainties. For triangulations with spacelike triangles, this scheme agrees with the master constraint method of the model by Engle, Pereira, Rovelli and Livine (EPRL). When it is applied to general triangulations of Lorentzian geometries, we obtain new constraints that include the EPRL constraints as a special case. They imply a discrete area spectrum for both spacelike and timelike surfaces. We use these constraints to define a spin foam model for general Lorentzian 4-geometries.
doi_str_mv 10.1088/0264-9381/27/18/185011
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subjects Coherence
Exact sciences and technology
Foams
General relativity and gravitation
Mathematical models
Optimization
Physics
Quantum gravity
Triangles
Triangulation
Uncertainty
title A spin foam model for general Lorentzian 4-geometries
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