Unambiguous one-loop quantum energies of 1+1 dimensional bosonic field configurations

Details Unambiguous one-loop quantum energies of 1+1 dimensional bosonic field configurations Unambiguous one-loop quantum energies of 1+1 dimensional bosonic field configurations

1998-05-22

arxiv.org/abs/hep-th/9805150v3

Phys.Lett. B435 (1998) 145-151

Physics

High Energy Physics

High Energy Physics - Theory

Email correspondence to graham@mitlns.mit.edu ; 10 pages, 2 figures, REVTeX, BoxedEPS; v2: Fixed description of level crossing

Scientific paper

10.1016/S0370-2693(98)00795-3

We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical field configuration, which need not be a solution of the classical field equations. We unambiguously implement standard perturbative renormalization using phase shifts and the Born approximation. We illustrate our method by calculating the quantum energy of a soliton/antisoliton pair as a function of their separation. This energy includes an imaginary part that gives a quantum decay rate and is associated with a level crossing in the solutions to the classical field equation in the presence of the source that maintains the soliton/antisoliton pair.

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