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- W2951268045 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 ${cal L}_{int} = 3/2 gphi^{2}chi^{2}$ 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 $Lsim 2.93 2sqrt{2}/M$ the ground state level splits, which we interpret as particle-antiparticle production under small perturbations of box size. Below another critical sizes $(Lsim 6/10 2sqrt{2}/M)$ and $(Lsim 1.71 2sqrt{2}/M)$ of the box, the ground state and first excited state merge in the continuum part of the spectrum." @default.
- W2951268045 created "2019-06-27" @default.
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- W2951268045 date "1999-05-21" @default.
- W2951268045 modified "2023-09-26" @default.
- W2951268045 title "Energy Levels of Interacting Fields in a Box" @default.
- W2951268045 hasPublicationYear "1999" @default.
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