Particle description of zero energy vacuum. I. Virtual particles
| dc.creator | Grandpeix, J. Y. | |
| dc.creator | Lurcat, F. | |
| dc.date | 2001-06-25 | |
| dc.date.accessioned | 2026-07-07T04:11:53Z | |
| dc.date.available | 2026-07-07T04:11:53Z | |
| dc.description | First the "frame problem" is sketched: the motion of an isolated particle obeys a simple law in galilean frames, but how does the galilean character of the frame manifest itself at the place of the particle? A description of vacuum as a system of virtual particles will help to answer this question. For future application to such a description, the notion of global particle is defined and studied. To this end, a systematic use of the Fourier transformation on the Poincare group is needed. The state of a system of n free particles is represented by a statistical operator W, which defines an operator-valued measure on the n-th power of the dual of the Poincare group. The inverse Fourier-Stieltjes transform of that measure is called the characteristic function of the system; it is a function on the n-th power of the Poincare group. The main notion is that of global characteristic function: it is the restriction of the characteristic function to the diagonal subgroup ; it represents the state of the system, considered as a single particle. The main properties of characteristic functions, and particularly of global characteristic functions, are studied. A mathematical Appendix defines two functional spaces involved. | |
| dc.description | 17 pages, no figure, LaTeX2e, Submitted to Foundation of Physics | |
| dc.identifier | https://arxiv.org/abs/hep-th/0106224 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0106224 | |
| dc.identifier | Found.Phys. 32 (2002) 109-131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50764 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Particle description of zero energy vacuum. I. Virtual particles | |
| dc.type | text |