Translation-Invariant Noncommutative Renormalization
We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniqu...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2010-06-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.047 |
| _version_ | 1819036527186935808 |
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| author | Adrian Tanasa |
| author_facet | Adrian Tanasa |
| author_sort | Adrian Tanasa |
| collection | DOAJ |
| description | We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniques to group field theory, a new setting for quantum gravity. |
| first_indexed | 2024-12-21T08:06:56Z |
| format | Article |
| id | doaj.art-965eccdfa42e43d8aa72e917e4b33db3 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-21T08:06:56Z |
| publishDate | 2010-06-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-965eccdfa42e43d8aa72e917e4b33db32022-12-21T19:10:46ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-06-016047Translation-Invariant Noncommutative RenormalizationAdrian TanasaWe review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniques to group field theory, a new setting for quantum gravity.http://dx.doi.org/10.3842/SIGMA.2010.047noncommutative quantum field theoryMoyal spacelocalitytranslation-invariance |
| spellingShingle | Adrian Tanasa Translation-Invariant Noncommutative Renormalization Symmetry, Integrability and Geometry: Methods and Applications noncommutative quantum field theory Moyal space locality translation-invariance |
| title | Translation-Invariant Noncommutative Renormalization |
| title_full | Translation-Invariant Noncommutative Renormalization |
| title_fullStr | Translation-Invariant Noncommutative Renormalization |
| title_full_unstemmed | Translation-Invariant Noncommutative Renormalization |
| title_short | Translation-Invariant Noncommutative Renormalization |
| title_sort | translation invariant noncommutative renormalization |
| topic | noncommutative quantum field theory Moyal space locality translation-invariance |
| url | http://dx.doi.org/10.3842/SIGMA.2010.047 |
| work_keys_str_mv | AT adriantanasa translationinvariantnoncommutativerenormalization |