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Zeitschriftenartikel

On the Expansions in Spin Foam Cosmology

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons45866

Hellmann,  Frank
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Externe Ressourcen
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Volltexte (frei zugänglich)

1105.1334
(Preprint), 171KB

PRD84_103516.pdf
(beliebiger Volltext), 212KB

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Zitation

Hellmann, F. (2011). On the Expansions in Spin Foam Cosmology. Physical Review D, 84: 103516. doi:10.1103/PhysRevD.84.103516.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-3B77-5
Zusammenfassung
We discuss the expansions used in spin foam cosmology. We point out that already at the one vertex level arbitrarily complicated amplitudes contribute, and discuss the geometric asymptotics of the five simplest ones. We discuss what type of consistency conditions would be required to control the expansion. We show that the factorisation of the amplitude originally considered is best interpreted in topological terms. We then consider the next higher term in the graph expansion. We demonstrate the tension between the truncation to small graphs and going to the homogeneous sector, and conclude that it is necessary to truncate the dynamics as well.