Indefinite-metric quantum field theory and operator algebra
| dc.creator | Kawamura, Katsunori | |
| dc.date | 2006-08-03 | |
| dc.date | 2006-09-18 | |
| dc.date.accessioned | 2026-07-07T07:21:20Z | |
| dc.date.available | 2026-07-07T07:21:20Z | |
| dc.description | It is often inevitable to introduce an indefinite-metric space in quantum field theory. There is a problem to determine the metric structure of a given representation space of field operators. We show the systematic method to determine such indefinite-metric explicitly. At first, we choose a new involution $*$ of field operators instead of the original involution $\sdag$ such that there is a Hilbert space $({\cal H},<\cdot|\cdot>)$ with the positive-definite metric $<\cdot|\cdot>$ which is consistent with $*$. Next we find another hermitian form $(\cdot|\cdot)$ on ${\cal H}$ such that $({\cal H},(\cdot|\cdot))$ is a Krein space and $(\cdot|\cdot)$ is consistent with $\sdag$. We apply this method to various models and show that our results coincide with known results. | |
| dc.identifier | https://arxiv.org/abs/math/0608076 | |
| dc.identifier | http://arxiv.org/abs/math/0608076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115265 | |
| dc.subject | Operator Algebras | |
| dc.subject | Mathematical Physics | |
| dc.subject | 47B50, 47L55, 81T05 | |
| dc.title | Indefinite-metric quantum field theory and operator algebra | |
| dc.type | text |