Obtaining non-Abelian field theories via the Faddeev-Jackiw symplectic formalism

DOI10.1016/j.physleta.2010.07.006zbMath1238.70025arXiv0912.2974OpenAlexW2227762482MaRDI QIDQ420441

Albert C. R. Mendes, Clifford Neves, Clovis Wotzasek, Wilson Oliveira, Rodrigo C. N. Silva, Everton M. C. Abreu

Publication date: 22 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2974

zbMATH Keywords

Faddeev-Jackiw symplectic formalismnon-Abelian field theory

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Geometry and quantization, symplectic methods (81S10) Constrained dynamics, Dirac's theory of constraints (70H45) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (9)

Symplectic approach of three-dimensional Palatini theory plus a Chern-Simons term ⋮ QCD gauge symmetries through Faddeev-Jackiw symplectic method ⋮ Dirac's and generalized Faddeev-Jackiw brackets for Einstein's theory in the \(G\to 0\) limit ⋮ Faddeev-Jackiw quantization of four dimensional BF theory ⋮ FADDEEV–JACKIW FORMALISM FOR CONSTRAINED SYSTEMS WITH GRASSMANN DYNAMICAL FIELD VARIABLES ⋮ Faddeev-Jackiw quantization of an abelian and non-abelian exotic action for gravity in three dimensions ⋮ Canonical and symplectic analysis for three dimensional gravity without dynamics ⋮ Hořava-Lifshitz cosmological models with noncommutative phase space variables ⋮ Faddeev–Jackiw approach of noncommutative space–time electromagnetic theories

Cites Work

• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• THE DUAL EMBEDDING METHOD IN D = 3
• CONSTRAINTS ON NONCOMMUTATIVE HALL EFFECT REVISITED
• FADDEEV-JACKIW QUANTIZATION AND CONSTRAINTS
• Hamiltonian reduction of unconstrained and constrained systems
• Foundations of Quantum Mechanics

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