Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-27
Prog. Theor. Phys.123:791-810, 2010
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 3 figures; v2: a rewritten and enlarged version of arXiv:0903.4257[hep-th], to appear in Prog. Theor. Phys. 123 (201
Scientific paper
10.1143/PTP.123.791
We propose a noncommutative extension of the Minkowski spacetime by introducing a well-defined proper time from the kappa-deformed Minkowski spacetime related to the standard basis. The extended Minkowski spacetime is commutative, i.e. it is based on the standard Heisenberg commutation relations, but some information of noncommutativity is encoded through the proper time to it. Within this framework, by simply considering the Lorentz invariance we can construct field theory models that comprise noncommutative effects naturally. In particular, we find a kind of temporal fuzziness related to noncommutativity in the noncommutative extension of the Minkowski spacetime. As a primary application, we investigate three types of formulations of chiral bosons, deduce the lagrangian theories of noncommutative chiral bosons and quantize them consistently in accordance with Dirac's method, and further analyze the self-duality of the lagrangian theories in terms of the parent action approach.
No associations
LandOfFree
Noncommutative Extension of Minkowski Spacetime and Its Primary Application 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 Noncommutative Extension of Minkowski Spacetime and Its Primary Application, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Extension of Minkowski Spacetime and Its Primary Application will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-568226