Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere
We review some recent progress in quantum field theory in non-commutative space, focusing onto the fuzzy sphere as a non-perturbative regularisation scheme. We first introduce the basic formalism, and discuss the limits corresponding to different commutative or non-commutative spaces. We present som...
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| Дата: | 2006 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146086 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere / M. Panero // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 88 назв. — англ. |
Репозитарії
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irk-123456789-1460862019-02-08T01:23:14Z Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere Panero, M. We review some recent progress in quantum field theory in non-commutative space, focusing onto the fuzzy sphere as a non-perturbative regularisation scheme. We first introduce the basic formalism, and discuss the limits corresponding to different commutative or non-commutative spaces. We present some of the theories which have been investigated in this framework, with a particular attention to the scalar model. Then we comment on the results recently obtained from Monte Carlo simulations, and show a preview of new numerical data, which are consistent with the expected transition between two phases characterised by the topology of the support of a matrix eigenvalue distribution. 2006 Article Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere / M. Panero // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 88 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 58B34; 81R60 http://dspace.nbuv.gov.ua/handle/123456789/146086 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We review some recent progress in quantum field theory in non-commutative space, focusing onto the fuzzy sphere as a non-perturbative regularisation scheme. We first introduce the basic formalism, and discuss the limits corresponding to different commutative or non-commutative spaces. We present some of the theories which have been investigated in this framework, with a particular attention to the scalar model. Then we comment on the results recently obtained from Monte Carlo simulations, and show a preview of new numerical data, which are consistent with the expected transition between two phases characterised by the topology of the support of a matrix eigenvalue distribution. |
| format |
Article |
| author |
Panero, M. |
| spellingShingle |
Panero, M. Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Panero, M. |
| author_sort |
Panero, M. |
| title |
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere |
| title_short |
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere |
| title_full |
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere |
| title_fullStr |
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere |
| title_full_unstemmed |
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere |
| title_sort |
quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146086 |
| citation_txt |
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere / M. Panero // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 88 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT panerom quantumfieldtheoryinanoncommutativespacetheoreticalpredictionsandnumericalresultsonthefuzzysphere |
| first_indexed |
2023-05-20T17:23:47Z |
| last_indexed |
2023-05-20T17:23:47Z |
| _version_ |
1796153199383543808 |