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The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ

Vernadsky National Library of Ukraine

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Title The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ
 
Creator Sämann, C.
 
Description 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 the phase diagram is analyzed for various n. Our results confirm the findings of a previous numerical study of this phase diagram for CP¹.
 
Date 2019-02-09T08:59:43Z
2019-02-09T08:59:43Z
2010
 
Type Article
 
Identifier 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.
1815-0659
2010 Mathematics Subject Classification: 81T75
DOI:10.3842/SIGMA.2010.050
http://dspace.nbuv.gov.ua/handle/123456789/146343
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України