Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-21
Int.J.Theor.Phys. 38 (1999) 2185-2196
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, LaTex, 3 ps-figs. to appear in Int.J.Theor.Phys. (1999)
Scientific paper
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 $\chi$ interacting with another scalar field $\phi$ through the lagrangian ${\cal L}_{int} = 3/2 g\phi^{2}\chi^{2}$ 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.
Adolfo Maia Jr.
Espichan Carrillo J. A.
No associations
LandOfFree
Energy Levels of Interacting Fields in a Box does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Energy Levels of Interacting Fields in a Box, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy Levels of Interacting Fields in a Box will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-80659