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arxiv: 0901.0746 · v1 · pith:656YLSOW · submitted 2009-01-07 · math-ph · math.MP

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

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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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