O(N) colour-flavour transformations and characteristic polynomials of real random matrices

2009/01/07 by Yi Wei, Wei, Yi, Boris A. Khoruzhenko +1
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #FOS: Physical sciences #Graph theory and applications #Mathematical Physics (math-ph) #Random Matrices and Applications #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0901.0746

arxiv created 2009/01/07 · openalex publication_date 2009/01/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The fermionic, bosonic and supersymmetric variants of the colour-flavour transformation are derived for the orthogonal group. These transformations are then used to calculate the ensemble averages of characteristic polynomials of real random matrices.

Citations

• The color-flavor transformation and a new approach to quantum chaotic\n maps

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