Renormalization on the DFR Quantum Spacetime
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866911878893010944 |
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| author | López, J. F. Reyes-Lega, A. F. |
| author_facet | López, J. F. Reyes-Lega, A. F. |
| contents | An approach to renormalization of scalar fields on the Doplicher-Fredenhagen-Roberts (DFR) quantum spacetime is presented. The effective non-local theory obtained through the use of states of optimal localization for the quantum spacetime is reformulated in the language of (perturbative) Algebraic Quantum Field Theory. The structure of the singularities associated to the non-local kernel that codifies the effects of noncommutativity is analyzed using the tools of microlocal analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09386 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Renormalization on the DFR Quantum Spacetime López, J. F. Reyes-Lega, A. F. Mathematical Physics 81T15, 81T18, 81T75 An approach to renormalization of scalar fields on the Doplicher-Fredenhagen-Roberts (DFR) quantum spacetime is presented. The effective non-local theory obtained through the use of states of optimal localization for the quantum spacetime is reformulated in the language of (perturbative) Algebraic Quantum Field Theory. The structure of the singularities associated to the non-local kernel that codifies the effects of noncommutativity is analyzed using the tools of microlocal analysis. |
| title | Renormalization on the DFR Quantum Spacetime |
| topic | Mathematical Physics 81T15, 81T18, 81T75 |
| url | https://arxiv.org/abs/2302.09386 |