q-Deformed Bi-Local Fields II

dc.creatorToyoda, Haruki
dc.creatorNaka, Shigefumi
dc.date2006-03-02
dc.date.accessioned2026-07-07T12:20:27Z
dc.date.available2026-07-07T12:20:27Z
dc.descriptionWe study a way of $q$-deformation of the bi-local system, the 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 our formulation, the deformation is done so that $P^2$, the square of center of mass momentum, enters into the deformation parameters of relative coordinates. As a result, the wave equation of the bi-local system becomes nonlinear 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 the second order. The study is also made on the covariant $q$-deformation in four dimensional spacetime.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/hep-th/0603020
dc.identifierhttp://arxiv.org/abs/hep-th/0603020
dc.identifierSIGMA 2:031,2006
dc.identifierdoi:10.3842/SIGMA.2006.031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213071
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleq-Deformed Bi-Local Fields II
dc.typetext

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