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q-Deformed Bi-Local Fields II
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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q-Deformed Bi-Local Fields II
Інший ID:
2000 Mathematics Subject Classification: 32G07; 81R50; 81R60
Посилання:
q-Deformed Bi-Local Fields II / H. Toyoda, S. Naka // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ.
Підтримка:
The authors with to express their thanks to the members of their laboratory for discussions and encouragement.
Дата:
2006
Переглядів:
798
Завантажень:
248
Анотація:
We 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 P², 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 P²; 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.
