Dynamical symmetries in noncommutative theories

Details Dynamical symmetries in noncommutative theories Dynamical symmetries in noncommutative theories

2008-08-22

arxiv.org/abs/0808.3062v4

Phys.Rev.D78:105003,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex. Some changes in the text. Version accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.78.105003

In the present work we study dynamical space-time symmetries in noncommutative relativistic theories by using the minimal canonical extension of the Doplicher, Fredenhagen and Roberts algebra. Our formalism is constructed in an extended space-time with independent degrees of freedom associated with the object of noncommutativity $\theta^{\mu\nu}$. In this framework we consider theories that are invariant under the Poincar\'{e} group ${\cal P}$ or under its extension ${\cal P}'$, when translations in the extra dimensions are permitted. The Noether's formalism adapted to such extended $x+\theta$ space-time is employed.

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