q-Deformed Bi-Local Fields
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 $P^2$; then, the propagator of
the bi-local system undergoes a significant change whereby its self-energy
becomes convergent to second order.