q-Deformed Bi-Local Fields II
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 c...
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| Дата: | 2006 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146438 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | q-Deformed Bi-Local Fields II / H. Toyoda, S. Naka // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146438 |
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irk-123456789-1464382019-02-10T01:24:23Z q-Deformed Bi-Local Fields II Toyoda, H. Naka, S. 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. 2006 Article q-Deformed Bi-Local Fields II / H. Toyoda, S. Naka // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 32G07; 81R50; 81R60 http://dspace.nbuv.gov.ua/handle/123456789/146438 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Toyoda, H. Naka, S. |
| spellingShingle |
Toyoda, H. Naka, S. q-Deformed Bi-Local Fields II Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Toyoda, H. Naka, S. |
| author_sort |
Toyoda, H. |
| title |
q-Deformed Bi-Local Fields II |
| title_short |
q-Deformed Bi-Local Fields II |
| title_full |
q-Deformed Bi-Local Fields II |
| title_fullStr |
q-Deformed Bi-Local Fields II |
| title_full_unstemmed |
q-Deformed Bi-Local Fields II |
| title_sort |
q-deformed bi-local fields ii |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146438 |
| citation_txt |
q-Deformed Bi-Local Fields II / H. Toyoda, S. Naka // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT toyodah qdeformedbilocalfieldsii AT nakas qdeformedbilocalfieldsii |
| first_indexed |
2023-05-20T17:24:23Z |
| last_indexed |
2023-05-20T17:24:23Z |
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1796153218725576704 |