Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere
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| Creator |
Panero, M.
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| 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.
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| Date |
2019-02-07T09:12:30Z
2019-02-07T09:12:30Z 2006 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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