The Elementary Particles as Quantum Knots in Electroweak Theory
| dc.creator | Finkelstein, Robert J. | |
| dc.date | 2007-05-24 | |
| dc.date.accessioned | 2026-07-07T10:55:49Z | |
| dc.date.available | 2026-07-07T10:55:49Z | |
| dc.description | We explore a knot model of the elementary particles that is compatible with electroweak physics. The knots are quantized and their kinematic states are labelled by $D^j_{mm'}$, irreducible representations of $SU_q(2)$, where j = N/2, m = w/2, m' = (r+1)/2 and (N,w,r) designate respectively the number of crossings, the writhe, and the rotation of the knot. The knot quantum numbers (N,w,r) are related to the standard isotopic spin quantum numbers $(t,t_3,t_0)$ by $(t=N/6,t_3=-w/6,t_0=-(r+1)/6)$, where $t_0$ is the hypercharge. In this model the elementary fermions are low lying states of the quantum trefoil (N=3) and the gauge bosons are ditrefoils (N=6). The fermionic knots interact by the emission and absorption of bosonic knots. In this framework we have explored a slightly modified standard electroweak Lagrangian with a slightly modified gauge group which agrees closely but not entirely with standard electroweak theory. | |
| dc.description | 29 pages; LaTex file | |
| dc.identifier | https://arxiv.org/abs/0705.3656 | |
| dc.identifier | http://arxiv.org/abs/0705.3656 | |
| dc.identifier | Int.J.Mod.Phys.A22:4467-4480,2007 | |
| dc.identifier | doi:10.1142/S0217751X0703707X | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186205 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Elementary Particles as Quantum Knots in Electroweak Theory | |
| dc.type | text |