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Prog. Theor. Phys. Vol. 109 No. 1 (2003) pp. 103-114

5-Dimensional Spacetime with q-Deformed Extra Dimension

Shigefumi Naka and Haruki Toyoda

Department of Physics, College of Science and Technology,
Nihon University, Tokyo 101-8308, Japan

(Received September 11, 2002)

Abstract:

An attempt to obtain the non-trivial mass structure of particles in a Randall-Sundrum type of 5-dimensional spacetime with a q-deformed extra dimension is discussed. In this spacetime, the five-dimensional space has no boundary, but there arises an elastic potential preventing free motion in the fifth direction. The q-deformation is, then, introduced in such a manner that a non-commutativity arises in the spacetime coordinates between the 4-dimensional components and the fifth component. As a result of this q-deformation, the propagators of particles embedded in this spacetime naturally acquire an ultraviolet-cutoff effect without spoiling the Lorentz covariance in the 4-dimensional spacetime.

URL : http://ptp.ipap.jp/link?PTP/109/103/
DOI : 10.1143/PTP.109.103

[ Full Text PDF : FREE ACCESS (193K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 110 No. 4 (2003) pp. 819-840 :

   q-Deformed and c-Deformed Harmonic Oscillators

   Ikuo S. Sogami Kouzou Koizumi and Rufat M. Mir-Kasimov

2. Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 645-656 :

   q-Deformed Bi-Local Fields

   Shigefumi Naka, Haruki Toyoda and Aiko Kimishima

3. Progress of Theoretical Physics Vol. 117 No. 4 (2007) pp. 589-600 :

   Localized and Non-Localized Solutions of q-Deformed Oscillators

   Kozo Koizumi and Ikuo S. Sogami

4. Progress of Theoretical Physics Vol. 124 No. 6 (2010) pp. 1019-1035 :

   A Dynamical System with q-Deformed Phase Space Represented in Ordinary Variable Spaces

   Shigefumi Naka, Haruki Toyoda and Takaoki Takanashi

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