1999/10/21 by Sergei Bashinsky, Sergei V. Bashinsky
Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Mathematics #Nonlinear system #Observable #Physics #Quantization (signal processing) #Quantum #Quantum field theory #Quantum mechanics #Regularization (linguistics) #Scalar (mathematics) #Soliton #Statistical physics #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.61.105003
published as Phys.Rev.D61:105003,2000 · 26 pages, 3 figures
arxiv created 1999/10/21 · openalex publication_date 2000/04/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We generalize effective energy variational techniques to study appropriately quantized solitonic field configurations. Our approach rests on collective quantization ideas and is specifically designed for the numerical evaluation of soliton parameters. We employ this method to obtain the one-loop quantum corrections to the soliton mass and form factor. Special attention is given to the regularization of the physical observables in the solitonic sector of the theory. The numerical implementation of the method is demonstrated for a simple one-dimensional scalar field example.