Relativistic spin networks and quantum gravity
General Relativity and Quantum Cosmology
2009-10-30 v2 High Energy Physics - Theory
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
Cite
@article{arxiv.gr-qc/9709028,
title = {Relativistic spin networks and quantum gravity},
author = {John W. Barrett and Louis Crane},
journal= {arXiv preprint arXiv:gr-qc/9709028},
year = {2009}
}
Comments
10 pages, amstex, some errors corrected, more references