2006/01/31 by Nobuyuki Sawado, Noriko Shiiki, Shingo Tanaka
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Derivative (finance) #Effective action #Gauge theory #Mathematical physics #Nonlinear Waves and Solitons #Order (exchange) #Philosophy #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Soliton #Space (punctuation) #Term (time) #Yang–Mills theory #hep-th #math-ph #math.MP
paper · pdf · doi:10.3842/sigma.2006.016
published as SIGMA 2:016,2006 · Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
openalex publication_date 2006/01/31 · arxiv created 2006/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) model in three dimensional space up to fourth-order in the first derivative is regarded as a low-energy effective theory of SU (2) Yang-Mills theory. One can show from the Wilsonian renormalization group argument that the effective action of Yang-Mills theory recovers the SFN in the infrared region. However, the theory contains an additional fourth-order term which destabilizes the soliton solution. We apply the perturbative treatment to the second derivative term in order to exclude (or reduce) the ill behavior of the original action and show that the SFN model with the second derivative term possesses soliton solutions.