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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146308 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Translation-Invariant Noncommutative Renormalization / A. Tanasa // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 46 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862672161184940032 |
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| author | Tanasa, A. |
| author_facet | Tanasa, A. |
| citation_txt | Translation-Invariant Noncommutative Renormalization / A. Tanasa // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 46 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T15:35:02Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146308 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:35:02Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tanasa, A. 2019-02-08T20:16:24Z 2019-02-08T20:16:24Z 2010 Translation-Invariant Noncommutative Renormalization / A. Tanasa // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 46 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T18; 81T75 DOI:10.3842/SIGMA.2010.047 https://nasplib.isofts.kiev.ua/handle/123456789/146308 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. This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
 The author was partially supported by the CNCSIS grant “Idei” 454/2009, ID-44 and by the
 grant PN 09 37 01 02. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Translation-Invariant Noncommutative Renormalization Article published earlier |
| spellingShingle | Translation-Invariant Noncommutative Renormalization Tanasa, A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146308 |
| work_keys_str_mv | AT tanasaa translationinvariantnoncommutativerenormalization |