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Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere
Інший ID:
2000 Mathematics Subject Classification: 58B34; 81R60
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). The author thanks the organisers of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary) for the stimulating and really enjoyable atmosphere at the conference, as well as A.P. Balachandran, W. Bietenholz, B.P. Dolan, K.S. Gupta, D. O’Connor and H. Steinacker for enlightening discussions. This work is supported by Enterprise Ireland under the Basic Research Programme.
Дата:
2006
Переглядів:
578
Завантажень:
254
Анотація:
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.
