A Multitrace Matrix Model from Fuzzy Scalar Field Theory

Denjoe O'Connor; Christian Saemann

A Multitrace Matrix Model from Fuzzy Scalar Field Theory

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present the analytical approach to scalar field theory on the fuzzy sphere which has been developed in arXiv:0706.2493 [hep-th]. This approach is based on considering a perturbative expansion of the kinetic term in the partition function. After truncating this expansion at second order, one arrives at a multitrace matrix model, which allows for an application of the saddle-point method. The results are in agreement with the numerical findings in the literature.

Original language	English
Title of host publication	Proceedings of the International Workshop on Supersymmetries and Quantum Symmetries, Dubna, 30.7.-4.8. 2007
Publication status	Published - 4 Sept 2007

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title = "A Multitrace Matrix Model from Fuzzy Scalar Field Theory",

abstract = "We present the analytical approach to scalar field theory on the fuzzy sphere which has been developed in arXiv:0706.2493 [hep-th]. This approach is based on considering a perturbative expansion of the kinetic term in the partition function. After truncating this expansion at second order, one arrives at a multitrace matrix model, which allows for an application of the saddle-point method. The results are in agreement with the numerical findings in the literature.",

author = "Denjoe O'Connor and Christian Saemann",

note = "8 pages, talk given by CS at the International Workshop {"}Supersymmetries and Quantum Symmetries{"} (SQS'07), Dubna, July 30 - August 4 2007; to appear in the proceedings",

year = "2007",

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AU - O'Connor, Denjoe

AU - Saemann, Christian

N1 - 8 pages, talk given by CS at the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'07), Dubna, July 30 - August 4 2007; to appear in the proceedings

PY - 2007/9/4

Y1 - 2007/9/4

N2 - We present the analytical approach to scalar field theory on the fuzzy sphere which has been developed in arXiv:0706.2493 [hep-th]. This approach is based on considering a perturbative expansion of the kinetic term in the partition function. After truncating this expansion at second order, one arrives at a multitrace matrix model, which allows for an application of the saddle-point method. The results are in agreement with the numerical findings in the literature.

AB - We present the analytical approach to scalar field theory on the fuzzy sphere which has been developed in arXiv:0706.2493 [hep-th]. This approach is based on considering a perturbative expansion of the kinetic term in the partition function. After truncating this expansion at second order, one arrives at a multitrace matrix model, which allows for an application of the saddle-point method. The results are in agreement with the numerical findings in the literature.

M3 - Conference contribution

BT - Proceedings of the International Workshop on Supersymmetries and Quantum Symmetries, Dubna, 30.7.-4.8. 2007

ER -

A Multitrace Matrix Model from Fuzzy Scalar Field Theory

Abstract

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