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

Boris A. Khoruzhenko; Yi Wei

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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

Yi Wei , Boris A. Khoruzhenko This is my paper

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.

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

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