Energy Levels of Interacting Fields in a Box
| dc.creator | Carrillo, J. A. Espichan | |
| dc.creator | Maia Jr, A. | |
| dc.date | 1999-05-21 | |
| dc.date.accessioned | 2026-07-07T04:26:31Z | |
| dc.date.available | 2026-07-07T04:26:31Z | |
| dc.description | We study the influence of boundary conditions on energy levels of interacting fields in a box and discuss some consequences when we change the size of the box. In order to do this we calculate the energy levels of bound states of a scalar massive field $χ$ interacting with another scalar field $ϕ$ through the lagrangian ${\cal L}_{int} = 3/2 gϕ^{2}χ^{2}$ in an one-dimensional box, on which we impose Dirichlet boundary conditions. We have found that the gap between the bound states changes with the size of the box in a non-trivial way. For the case the masses of the two fields are equal and for large box the energy levels of Dashen-Hasslacher-Neveu (DHN model) (Dashen et al, 1974) are recovered and we have a kind of boson condensate for the ground state. Below to a critical box size $L\sim 2.93 2\sqrt{2}/M$ the ground state level splits, which we interpret as particle-antiparticle production under small perturbations of box size. Below another critical sizes $(L\sim 6/10 2\sqrt{2}/M)$ and $(L\sim 1.71 2\sqrt{2}/M)$ of the box, the ground state and first excited state merge in the continuum part of the spectrum. | |
| dc.description | 11 pages, LaTex, 3 ps-figs. to appear in Int.J.Theor.Phys. (1999) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9905158 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9905158 | |
| dc.identifier | Int.J.Theor.Phys. 38 (1999) 2185-2196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56074 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Energy Levels of Interacting Fields in a Box | |
| dc.type | text |