The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n

Christian Saemann

doi:10.3842/SIGMA.2010.050

The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n

Christian Saemann

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

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 CPⁿ.

Original language	English
Journal	Symmetry, Integrability and Geometry: Methods and Applications
Volume	6
DOIs	https://doi.org/10.3842/SIGMA.2010.050
Publication status	Published - 24 Mar 2010

Keywords

Fuzzy geometry
Matrix models

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10.3842/SIGMA.2010.050

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abstract = "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 CPn.",

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AB - 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 CPn.

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JO - Symmetry, Integrability and Geometry: Methods and Applications

JF - Symmetry, Integrability and Geometry: Methods and Applications

ER -

The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n

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