%0 Journal Article %1 Barrett1997 %A Barrett, John W. %A Crane, Louis %D 1997 %K lqg spinfoam %T Relativistic spin networks and quantum gravity %U http://arxiv.org/abs/gr-qc/9709028 %X 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.

@article{Barrett1997, 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. }, added-at = {2010-02-14T22:31:06.000+0100}, author = {Barrett, John W. and Crane, Louis}, biburl = {https://www.bibsonomy.org/bibtex/2c77ec733b140cf3620b652faaa5b2a5d/random3f}, description = {[gr-qc/9709028] Relativistic spin networks and quantum gravity}, interhash = {1f9cc61fcbce7b76ca43bcdfcb69045c}, intrahash = {c77ec733b140cf3620b652faaa5b2a5d}, keywords = {lqg spinfoam}, note = {cite arxiv:gr-qc/9709028 Comment: 10 pages, amstex, some errors corrected, more references}, timestamp = {2010-02-14T22:31:06.000+0100}, title = {Relativistic spin networks and quantum gravity}, url = {http://arxiv.org/abs/gr-qc/9709028}, year = 1997 }