Relativistic spin networks and quantum gravity

Preprint

23 January 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9709028

Abstract

Relativistic spin networks are defined by considering the spin covering of the group SO(4), SU(2) times SU(2). Relativistic quantum spins are related to the geometry of the 2-dimensional faces of a 4-simplex. This extends the idea of Ponzano and Regge that SU(2) spins are related to the geometry of the edges of a 3-simplex. This leads us to suggest that there may be a 4-dimensional state sum model for quantum gravity based on relativistic spin networks which parallels the construction of 3-dimensional quantum gravity from ordinary spin networks.

Keywords

RELATIVISTIC SPIN NETWORKS
GRAVITY RELATIVISTIC
QUANTUM GRAVITY
SPIN NETWORKS
GEOMETRY

All Related Versions

Version 1, 1997-09-12, ArXiv
Version 2, 1998-01-23, ArXiv
Published version: Journal of Mathematical Physics, 39 (6), 3296.

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