Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Author: Panero, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146086
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...