2002/10/31 by Steffen Krusch · 57 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Ansatz #Black Holes and Theoretical Physics #Homotopy #Mathematical physics #Nucleon #Particle physics #Physics #Pure mathematics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Skyrmion #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0003-4916(03)00014-9
published in Annals of Physics 304(2), 103-127 (Elsevier BV) · 29 pages, 2 tables
arxiv created 2002/10/31 · openalex publication_date 2003/03/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Skyrme model is a classical field theory which models the strong interaction between atomic nuclei. It has to be quantized in order to compare it to nuclear physics. When the Skyrme model is semi-classically quantized it is important to take the Finkelstein-Rubinstein constraints into account. The aim of this paper is to show how to calculate these FR constraints directly from the rational map ansatz using basic homotopy theory. We then apply this construction in order to quantize the Skyrme model in the simplest approximation, the zero mode quantization. This is carried out for up to 22 nucleons, and the results are compared to experiment.