The spin-statistics connection, the Gauss-Bonnet theorem and the Hausdorff dimension of the quantum paths
| dc.creator | da Cruz, Wellington | |
| dc.date | 2004-02-18 | |
| dc.date | 2004-02-26 | |
| dc.date.accessioned | 2026-07-07T04:16:38Z | |
| dc.date.available | 2026-07-07T04:16:38Z | |
| dc.description | We obtain an explicit expression relating the writhing number, $W[C]$, of the quantum path, $C$, with any value of spin, $s$, of the particle which sweeps out that closed curve. We consider a fractal approach to the fractional spin particles and, in this way, we make clear a deeper connection between the Gauss-Bonnet theorem with the spin-statistics relation via the concept of Hausdorff dimension, $h$, associated to the fractal quantum curves of the particles: \frac{h}{2+2s}=W[C]=\frac{1}{4π}\oint_{C}d x_α\oint_{C}d x_β ε^{αβγ} \frac{(x-y)_γ}{|x-y|^3}. | |
| dc.description | Latex, 6 pages, footnotes added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0402131 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0402131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52434 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The spin-statistics connection, the Gauss-Bonnet theorem and the Hausdorff dimension of the quantum paths | |
| dc.type | text |