LAGRANGIAN FORMULATION FOR NONCOMMUTATIVE NONLINEAR SYSTEMS

2011/04/25 by E. M. C. ABREU, E. M. C. Abreu, J. Ananias Neto +9 · 28 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Lagrangian #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Nonlinear system #Sigma model #Symplectic geometry #hep-th #math-ph #math.MP

paper · pdf · doi:10.1142/s0217751x12500534

published in International Journal of Modern Physics A 27(09), 1250053 (World Scientific) · 8 pages. Revex 4.1

arxiv created 2011/04/25 · openalex publication_date 2012/04/10 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this work we study Lagrangian formulations for the noncommutative versions of the SU(2) Skyrme model and O(3) nonlinear sigma model. These formulations will be obtained using the Faddeev–Jackiw symplectic formalism. Other noncommutative Lagrangian formulations can be proposed and different noncommutative versions for these nonlinear systems can be obtained.

Citations

• The Non-commutative Landau Problem
• Zur Theorie des Diamagnetismus von Leitungselektronen
• Introduction to M(atrix) theory and noncommutative geometry
• Self-dual fields as charge-density solitons
• Gauging the SU(2) Skyrme model
• Quantum mechanics as a statistical theory

Cited by

• Noncommutative cosmological models coupled to a perfect fluid and a cosmological constant

Related

• Noncommutative Nonlinear Supersymmetry
• Lagrangian and Noncommutativity
• Noncommutative version of an arbitrary nondegenerated mechanics
• Integrable discretisations of the noncommutative NLS equation
• A note on non-linear σ-models in noncommutative geometry