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Nonabelian Localization for Statistical Mechanics of Matrix Models at High Temperatures

2006/01/04 by Levent Akant, Akant, Levent
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.hep-th/0601022

openalex publication_date 2006/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that in the high temperature limit the partition function of a matrix model is localized on certain shells in the phase space where on each shell the classically conjugate matrix variables obey the canonical commutation relations. The result is obtained by applying the nonabelian equivariant localization principle to the partition function of a matrix model driven by a specific random external source coupled to a conserved charge of the system.

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