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arXiv · hep-th/0412062

Q-Deformed Bi-Local Fields

Shigefumi Naka·Haruki Toyoda·Aiko Kimishima
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Abstract

We study the q-deformation of the bi-local system, two particle system, bounded by a relativistic harmonic oscillator type of potential from both points of view of mass spectra and the behavior of scattering amplitudes. In particular, we try to formulate the deformation so that $P^2$, the square of center of mass momenta, enters into the deformation parameters of relative coordinates. As a result, the wave equation of the bi-local system becomes non-linear one with respect to $P^2$; then, the propagator of the bi-local system suffers significant change so as to get a convergent self energy to second order.

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Shigefumi Naka, Haruki Toyoda, Aiko Kimishima. 2004-12-07. Q-Deformed Bi-Local Fields. https://doi.org/10.1143/ptp.113.645

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