Planar field theories with space-dependent noncommutativity

Details Planar field theories with space-dependent noncommutativity Planar field theories with space-dependent noncommutativity

2004-05-10

arxiv.org/abs/hep-th/0405090v2

J.Phys. A38 (2005) 3695-3708

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figures, LaTeX. v2: Minor typos corrected, comments added. Version to appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/38/16/016

We study planar noncommutative theories such that the spatial coordinates ${\hat x}_1$, ${\hat x}_2$ verify a commutation relation of the form: $[{\hat x}_1, {\hat x}_2] = i \theta ({\hat x}_1,{\hat x}_2)$. Starting from the operatorial representation for dynamical variables in the algebra generated by ${\hat x}_1$ and ${\hat x}_2$, we introduce a noncommutative product of functions corresponding to a specific operator-ordering prescription. We define derivatives and traces, and use them to construct scalar-field actions. The resulting expressions allow one to consider situations where an expansion in powers of $\theta$ and its derivatives is not necessarily valid. In particular, we study in detail the case when $\theta$ vanishes along a linear region. We show that, in that case, a scalar field action generates a boundary term, localized around the line where $\theta$ vanishes.

Affiliated with

Also associated with

No associations

Rating

Planar field theories with space-dependent noncommutativity 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 Planar field theories with space-dependent noncommutativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Planar field theories with space-dependent noncommutativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21013