The Pauli Exclusion Principle and SU(2) Versus SO(3) in Loop Quantum Gravity
| dc.creator | Swain, John | |
| dc.date | 2004-01-29 | |
| dc.date.accessioned | 2026-07-07T03:28:26Z | |
| dc.date.available | 2026-07-07T03:28:26Z | |
| dc.description | Recent attempts to resolve the ambiguity in the loop quantum gravity description of the quantization of area has led to the idea that $j=1$ edges of spin-networks dominate in their contribution to black hole areas as opposed to $j=1/2$ which would naively be expected. This suggests that the true gauge group involved might be SO(3) rather than SU(2) with attendant difficulties. We argue that the assumption that a version of the Pauli principle is present in loop quantum gravity allows one to maintain SU(2) as the gauge group while still naturally achieving the desired suppression of spin-1/2 punctures. Areas come from $j=1$ punctures rather than $j=1/2$ punctures for much the same reason that photons lead to macroscopic classically observable fields while electrons do not. | |
| dc.description | An earlier paper (gr-qc/0305073) with a slightly different title received an "honorable mention" in the 2003 Essay Competition of the Gravity Research Foundation. This paper argues from geometric quantization for a spin-statistics connection even when the SU(2) under consideration to define ``spin'' is not that of rotations in 3 space dimensions | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0401122 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0401122 | |
| dc.identifier | Int.J.Mod.Phys. D12 (2003) 729 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34828 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The Pauli Exclusion Principle and SU(2) Versus SO(3) in Loop Quantum Gravity | |
| dc.type | text |