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NONCOMMUTATIVITY FROM THE SYMPLECTIC POINT OF VIEW

The great deal in noncommutative (NC) field theories started when it was noted that NC spaces naturally arise in string theory with a constant background magnetic field in the presence of D-branes.…
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THE DUAL EMBEDDING METHOD IN D = 3

Improving the beginning steps of a previous work, we settle the dual embedding method (DEM) as an alternative and efficient method for obtaining dual equivalent actions also in D = 3. We show that we…
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Noncommutativity and Duality through the Symplectic Embedding Formalism

This work is devoted to review the gauge embedding of either commutative and noncommutative (NC) theories using the symplectic formalism framework. To sum up the main features of the method, during…
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New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations

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LAGRANGIAN FORMULATION FOR NONCOMMUTATIVE NONLINEAR SYSTEMS

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

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Embedding commutative and noncommutative theories in the symplectic framework

This paper is devoted to studying gauge embedding of either commutative and noncommutative theories in the framework of the symplectic formalism. We illustrate our ideas in the Proca model, the…
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Clebsch parameterization from the symplectic point of view [rapid communication]

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The effect of singular potentials on the harmonic oscillator

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

A bstractIn this work we carry out a noncommutative analysis of several Friedmann- Robert-Walker models, coupled to different types of perfect fluids and in the presence of a cosmological constant.…
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