Fermions and noncommutative theories

Details Fermions and noncommutative theories Fermions and noncommutative theories

2008-08-28

arxiv.org/abs/0808.3903v2

Joun. Math. Phys. 50, 022303 (2009)

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex, published version

Scientific paper

10.1063/1.3076899

By using a framework where the object of noncommutativity $\theta^{\mu\nu}$ represents independent degrees of freedom, we study the symmetry properties of an extended $x+\theta$ space-time, given by the group $P$', which has the Poincar\'{e} group $P$ as a subgroup. In this process we use the minimal canonical extension of the Doplicher, Fredenhagen and Roberts algebra. It is also proposed a generalized Dirac equation, where the fermionic field depends not only on the ordinary coordinates but on $\theta^{\mu\nu}$ as well. The dynamical symmetry content of such fermionic theory is discussed, and we show that its action is invariant under $\cal P$'.

Affiliated with

Also associated with

No associations

Rating

Fermions and noncommutative theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fermions and noncommutative theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fermions and noncommutative theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-327378