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2014

Bootstrapping Fuzzy Scalar Field Theory

Saemann, Christian

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We describe a new way of rewriting the partition function of scalar field theory on fuzzy complex projective spaces as a solvable multitrace matrix model.

This model is given as a perturbative high-temperature expansion.
At each order, we present an explicit analytic expression for most of the arising terms; the remaining terms are computed explicitly up to fourth order.
The method presented here can be applied to any model of hermitian matrices.

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Built on

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X. Martin, A matrix phase for the ϕ 4 \phi^{4} scalar field on the fuzzy sphere,
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Similar

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Then

M. Ihl, C. Sachse, and C. Saemann, Fuzzy scalar field theory as matrix quantum mechanics,
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V. Nair, A. Polychronakos, and J. Tekel, Fuzzy spaces and new random matrix ensembles,
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A. P. Polychronakos, Effective action and phase transitions of scalar field on the fuzzy sphere,
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B. Ydri, New algorithm and phase diagram of noncommutative Φ 4 \Phi^{4} on the fuzzy sphere,
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J. Tekel, Uniform order phase and phase diagram of scalar field theory on fuzzy ℂ P n \mathbb{C}P^{n} ,
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B. Ydri, A multitrace approach to noncommutative Φ 2 4 \Phi_{2}^{4} ,

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2014

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