O(N) colour-flavour transformations and characteristic polynomials of real random matrices
classification
🧮 math-ph
math.MP
keywords
characteristiccolour-flavourmatricespolynomialsrandomrealtransformationsaverages
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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.
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