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Prog. Theor. Phys. Vol. 113 No. 3 (2005) pp. 645-656

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q-Deformed Bi-Local Fields

Shigefumi Naka, Haruki Toyoda and Aiko Kimishima

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

(Received November 12, 2004)

Abstract:

We study the q-deformation of a bi-local, two particle system, bounded by a relativistic harmonic oscillator type of potential from the points of view of both mass spectra and the behavior of scattering amplitudes. In particular, we attempt to formulate the deformation so that P2, the square of the center-of- mass momenta, enters into the deformation parameters of the relative coordinates. As a result, the wave equation of the bi-local system becomes non-linear with respect to P2; then, the propagator of the bi-local system undergoes a significant change whereby its self-energy becomes convergent to second order.


URL : http://ptp.ipap.jp/link?PTP/113/645/
DOI : 10.1143/PTP.113.645

[ Full Text PDF (192K) ]  [ Buy This Article ]  Citation:

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Citing Article(s) :

  1. 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

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