Bound States in Models of Asymtotic Freedom
| dc.creator | Rajeev, S. G. | |
| dc.date | 1999-02-02 | |
| dc.date.accessioned | 2026-07-07T04:25:56Z | |
| dc.date.available | 2026-07-07T04:25:56Z | |
| dc.description | We describe a new formalism which expresses asymtotically free thories in a manifestly finite way, after renormalization and dimensional transmutation. The time evolution is NOT differentiable in these systems, so the hamiltonian does not exist. Instead, there is a new operator, the `Principal Operator', (which is roughly speaking the logarithm of the hamiltonian) which is finite (cut-off independent). We construct the Principal operator in several examples, including the Many body Problem of bosons in two dimensions with a short range attractive interaction. This allows us to estimate the ground state energy of a two-dimensional Bose condensate (with an attractive interaction). The ground state energy depends exponentially on the number of particles. | |
| dc.description | Latex 63 pages, one eps figure | |
| dc.identifier | https://arxiv.org/abs/hep-th/9902025 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9902025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55924 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Bound States in Models of Asymtotic Freedom | |
| dc.type | text |