Spin in the Worldline Path Integral in 2+1 Dimensions
| dc.creator | Fosco, C. D. | |
| dc.creator | Sanchez-Guillen, J. | |
| dc.creator | Vazquez, R. A. | |
| dc.date | 2005-12-07 | |
| dc.date | 2007-06-21 | |
| dc.date.accessioned | 2026-07-07T11:27:19Z | |
| dc.date.available | 2026-07-07T11:27:19Z | |
| dc.description | We construct a worldline path integral for the effective action and propagator of a Dirac field in 2+1 dimensions in an Abelian gauge field background. Integrating over an auxiliary gauge group variable we derive a worldline action depending only on $x(τ)$, the spacetime paths. We show that that action is a combination of a kinetic term plus a spin action. The first is proportional to $δ[\dot{x}^2(τ)- 1]$. The second agrees exactly with the spin action one should expect for a spin-1/2 field. | |
| dc.description | 23 pages, no figures. Version extended with some applications and a more detailed explanation of the classical limit | |
| dc.identifier | https://arxiv.org/abs/hep-th/0512081 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0512081 | |
| dc.identifier | AnnalsPhys.323:356-372,2008 | |
| dc.identifier | doi:10.1016/j.aop.2007.06.007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196115 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Spin in the Worldline Path Integral in 2+1 Dimensions | |
| dc.type | text |