Embedding Commutative and Noncommutative Theories in the Symplectic Framework

Abstract

This paper is devoted to study gauge embedding of either commutative and noncommutative theories in the framework of the symplectic formalism. We illustrate our ideas in the Proca model, the irrotational fluid model and the noncommutative self-dual model. In the process of this new path of embedding, the infinitesimal gauge generators of the gauge embedded theory are easily and directly chosen. Among other advantages, this enables a greater control over the final Lagrangian and puts some light on the so called ''arbitrariness problem".

20 pages, to appear in PRD

References in corpus (10)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Gauging the SU(2) Skyrme model
• Bosonization in the Noncommutative Plane
• Gauge Invariances in the Proca model
• Gauge Invariance and Duality in the Noncommutative Plane
• Hamiltonian Embedding of SU(2) Higgs Model in the Unitary Gauge
• Effective Field Theory for Noncommutative Spacetime: A Toy Model
• Modelling a Noncommutative Two-Brane
• Hamiltonian embedding of the massive noncommutative U(1) theory

Cited by in corpus (12)

• Analysis of constrained theories without use of primary constraints
• Hořava-Lifshitz cosmological models in noncommutative space-times
• Obtaining gauge invariant actions via symplectic embedding formalism
• Faddeev-Jackiw quantization of four dimensional BF theory
• Hamiltonian analysis of General Relativity and extended gravity from the iterative Faddeev-Jackiw symplectic approach
• Faddeev-Jackiw quantization of topological invariants: Euler and Pontryagin classes
• Dirac's and Generalized Faddeev-Jackiw brackets for Einstein's theory in G $\to 0$ limit
• QCD gauge symmetries through Faddeev-Jackiw symplectic method
• Canonical and symplectic analysis for three dimensional gravity without dynamics
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
• Hamilton-Jacobi analysis for three dimensional gravity without dynamics