1998/05/31 by N. Graham, Noah Graham, R. L. Jaffe · 1 citation
Physics and Astronomy · #Nonlinear Photonic Systems #Spectroscopy and Quantum Chemical Studies #Strong Light-Matter Interactions #hep-th
paper · pdf · doi:10.1016/s0370-2693(98)00795-3
published as Phys.Lett. B435 (1998) 145-151 · Email correspondence to [email protected] ; 10 pages, 2 figures, REVTeX, BoxedEPS; v2: Fixed description of level crossing as a function of $x_0$; v3: Fixed numerical error in figure data
openalex publication_date 1998/09/01 · arxiv created 2003/07/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.