The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Author: Sämann, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146343
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ / C. Sämann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 22 назв. — англ.

We perform a high-temperature expansion of scalar quantum field theory on fuzzy CPⁿ to third order in the inverse temperature. Using group theoretical methods, we rewrite the result as a multitrace matrix model. The partition function of this matrix model is evaluated via the saddle point method and...