Wavelet-Based Quantum Field Theory
The Euclidean quantum field theory for the fields φΔx(x), which depend on both the position x and the resolution Δx, constructed in SIGMA 2 (2006), 046, on the base of the continuous wavelet transform, is considered. The Feynman diagrams in such a theory become finite under the assumption there shou...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147195 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Wavelet-Based Quantum Field Theory / M.V. Altaisky // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862686886959513600 |
|---|---|
| author | Altaisky, M.V. |
| author_facet | Altaisky, M.V. |
| citation_txt | Wavelet-Based Quantum Field Theory / M.V. Altaisky // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Euclidean quantum field theory for the fields φΔx(x), which depend on both the position x and the resolution Δx, constructed in SIGMA 2 (2006), 046, on the base of the continuous wavelet transform, is considered. The Feynman diagrams in such a theory become finite under the assumption there should be no scales in internal lines smaller than the minimal of scales of external lines. This regularisation agrees with the existing calculations of radiative corrections to the electron magnetic moment. The transition from the newly constructed theory to a standard Euclidean field theory is achieved by integration over the scale arguments.
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| first_indexed | 2025-12-07T16:04:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147195 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:04:24Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Altaisky, M.V. 2019-02-13T18:56:43Z 2019-02-13T18:56:43Z 2007 Wavelet-Based Quantum Field Theory / M.V. Altaisky // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 42C40; 37E20 https://nasplib.isofts.kiev.ua/handle/123456789/147195 The Euclidean quantum field theory for the fields φΔx(x), which depend on both the position x and the resolution Δx, constructed in SIGMA 2 (2006), 046, on the base of the continuous wavelet transform, is considered. The Feynman diagrams in such a theory become finite under the assumption there should be no scales in internal lines smaller than the minimal of scales of external lines. This regularisation agrees with the existing calculations of radiative corrections to the electron magnetic moment. The transition from the newly constructed theory to a standard Euclidean field theory is achieved by integration over the scale arguments. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). The author is thankful to Professor N.V. Antonov for critical reading of the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Wavelet-Based Quantum Field Theory Article published earlier |
| spellingShingle | Wavelet-Based Quantum Field Theory Altaisky, M.V. |
| title | Wavelet-Based Quantum Field Theory |
| title_full | Wavelet-Based Quantum Field Theory |
| title_fullStr | Wavelet-Based Quantum Field Theory |
| title_full_unstemmed | Wavelet-Based Quantum Field Theory |
| title_short | Wavelet-Based Quantum Field Theory |
| title_sort | wavelet-based quantum field theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147195 |
| work_keys_str_mv | AT altaiskymv waveletbasedquantumfieldtheory |