Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process (Q2924902)
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scientific article; zbMATH DE number 6358494
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process |
scientific article; zbMATH DE number 6358494 |
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Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process (English)
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20 October 2014
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Chern-Simons theory
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Jacobi-theta process
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oscillatory matrix model
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The paper deals with the partition function of a statistical mechanics system of \(N\) particle in Chern-Simons theory, and the purpose is to consider its limit as \(N\) increases indefinitely. One begins with the definition of the Stieltjes-Wigert polynomials and their asymptotic expansion, and then one put in evidence its connection with the oscillatory matrix model the study of which is the main purpose of the paper. The oscillatory behaviours of the infinite-particle systems is described in a detailed manner.
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