Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-02
Found.Phys.Lett. 19 (2006) 567-578
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1007/s10702-006-1010-9
Motivated by the recent proposition by Buniy, Hsu and Zee with respect to discrete space-time and finite spatial degrees of freedom of our physical world with a short- and a long-distance scales, $l_P$ and $L,$ we reconsider the Lorentz-covariant Yang's quantized space-time algebra (YSTA), which is intrinsically equipped with such two kinds of scale parameters, $\lambda$ and $R$. In accordance with their proposition, we find the so-called contracted representation of YSTA with finite spatial degrees of freedom associated with the ratio $R/\lambda$, which gives a possibility of the divergence-free noncommutative field theory on YSTA. The canonical commutation relations familiar in the ordinary quantum mechanics appear as the cooperative Inonu-Wigner's contraction limit of YSTA, $\lambda \to 0$ and $R \to \infty.$
No associations
LandOfFree
Contracted Representation of Yang's Space-Time Algebra and Buniy-Hsu-Zee's Discrete Space-Time 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 Contracted Representation of Yang's Space-Time Algebra and Buniy-Hsu-Zee's Discrete Space-Time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Contracted Representation of Yang's Space-Time Algebra and Buniy-Hsu-Zee's Discrete Space-Time will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-639619