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29 March 2024
 
  » arxiv » hep-th/0511023

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Contracted Representation of Yang's Space-Time Algebra and Buniy-Hsu-Zee's Discrete Space-Time
Sho Tanaka ;
Date 2 Nov 2005
AbstractMotivated 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 apper as the cooperative Inonu-Wigner’s contraction limit of YSTA, $lambda o 0$ and $R o infty.$
Source arXiv, hep-th/0511023
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