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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862590883969368064 |
|---|---|
| author | Toyoda, H. Naka, S. |
| author_facet | Toyoda, H. Naka, S. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-27T05:50:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146438 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T05:50:51Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Toyoda, H. Naka, S. 2019-02-09T17:04:54Z 2019-02-09T17:04:54Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/146438 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. The authors with to express their thanks to the members of their laboratory for discussions and encouragement. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications q-Deformed Bi-Local Fields II Article published earlier |
| spellingShingle | q-Deformed Bi-Local Fields II Toyoda, H. Naka, S. |
| title | 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_short | q-Deformed Bi-Local Fields II |
| title_sort | q-deformed bi-local fields ii |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146438 |
| work_keys_str_mv | AT toyodah qdeformedbilocalfieldsii AT nakas qdeformedbilocalfieldsii |