Point-form quantum field theory
| dc.creator | Biernat, E. P. | |
| dc.creator | Klink, W. H. | |
| dc.creator | Schweiger, W. | |
| dc.creator | Zelzer, S. | |
| dc.date | 2007-08-13 | |
| dc.date.accessioned | 2026-07-07T12:38:32Z | |
| dc.date.available | 2026-07-07T12:38:32Z | |
| dc.description | We examine canonical quantization of relativistic field theories on the forward hyperboloid, a Lorentz-invariant surface of the form $x_μx^μ= τ^2$. This choice of quantization surface implies that all components of the 4-momentum operator are affected by interactions (if present), whereas rotation and boost generators remain interaction free -- a feature characteristic of Dirac's `` point-form\rq\rq of relativistic dynamics. Unlike previous attempts to quantize fields on space-time hyperboloids, we keep the usual plane-wave expansion of the field operators and consider evolution of the system generated by the 4-momentum operator. We verify that the Fock-space representations of the Poincaré generators for free scalar and spin-1/2 fields look the same as for equal-time quantization. Scattering is formulated for interacting fields in a covariant interaction picture and it is shown that the familiar perturbative expansion of the S-operator is recovered by our approach. An appendix analyzes special distributions, integrals over the forward hyperboloid, that are used repeatedly in the paper. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/0708.1703 | |
| dc.identifier | http://arxiv.org/abs/0708.1703 | |
| dc.identifier | Annals Phys.323:1361-1383,2008 | |
| dc.identifier | doi:10.1016/j.aop.2007.09.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218792 | |
| dc.subject | Nuclear Theory | |
| dc.title | Point-form quantum field theory | |
| dc.type | text |