On the Impossibility of a Poincare-invariant Vacuum State with Unit Norm
| dc.creator | Berkowitz, Jeremy | |
| dc.date | 2008-02-01 | |
| dc.date | 2008-02-07 | |
| dc.date.accessioned | 2026-07-07T09:36:49Z | |
| dc.date.available | 2026-07-07T09:36:49Z | |
| dc.description | In the standard construction of Quantum Field Theory, a vacuum state is required. The vacuum is a vector in a separable, infinite-dimensional Hilbert space often referred to as Fock space. By definition the vacuum wavestate depends on nothing and must be translationally invariant. We show that any such translationally-invariant vector must have a norm that is either divergent or equal to zero. It is impossible for any state to be both everywhere translationally invariant and also have a norm of one. The axioms of QFT cannot be made internally consistent. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0802.0216 | |
| dc.identifier | http://arxiv.org/abs/0802.0216 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160252 | |
| dc.subject | General Physics | |
| dc.subject | 12E25; 28Cxx | |
| dc.title | On the Impossibility of a Poincare-invariant Vacuum State with Unit Norm | |
| dc.type | text |