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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215102The 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.Mathematical PhysicsO(N) colour-flavour transformations and characteristic polynomials of real random matricestext