Please use this identifier to cite or link to this item:
|Type:||Artigo de periódico|
|Title:||Energy levels of interacting fields in a box|
|Abstract:||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 L-int = 3/2 g phi(2)chi(2) in a one-dimensional box on which we impose Dirichlet boundary conditions. We find that the gap between the bound states changes with the size of the box in a nontrivial way. For the case where the masses of the two fields are equal and for large box the energy levels of Dashen-Hasslacher-Neveu (DHN model) are recovered and we have a kind of boson condensate for the ground state. Below a critical box size L similar to 2.93 (2 root 2 /M) the ground-state level splits, which we interpret as particle-antiparticle production under small perturbations of box size. Below other critical sizes, L similar to (6/10)(2 root 2 /M) and L similar to 1.71 (2 root 2 /M), of the box, the ground state and first excited state merge in the continuum part of the spectrum.|
|Editor:||Kluwer Academic/plenum Publ|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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