The Φ^4 quantum field in a scale invariant random metric
| dc.creator | Haba, Z. | |
| dc.date | 2002-08-29 | |
| dc.date.accessioned | 2026-07-07T11:48:03Z | |
| dc.date.available | 2026-07-07T11:48:03Z | |
| dc.description | We discuss a D-dimensional Euclidean scalar field interacting with a scale invariant quantized metric. We assume that the metric depends on d-dimensional coordinates where d<D. We show that the interacting quantum fields have more regular short distance behaviour than the free fields. A model of a Gaussian metric is discussed in detail. In particular, in the Φ^4 theory in four dimensions we obtain explicit lower and upper bounds for each term of the perturbation series. It turns out that there is no coupling constant renormalization in the Φ^4 model in four dimensions. We show that in a particular range of the scale dimension there are models in D=4 without any divergencies. | |
| dc.identifier | https://arxiv.org/abs/hep-th/0208212 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0208212 | |
| dc.identifier | J.Phys.A35:7425-7436,2002 | |
| dc.identifier | doi:10.1088/0305-4470/35/34/313 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202785 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Φ^4 quantum field in a scale invariant random metric | |
| dc.type | text |