On the Efetov-Wegner terms by diagonalizing a Hermitian supermatrix

Understand

The diagonalization of Hermitian supermatrices is studied.

• Such a change of coordinates is inevitable to find certain structures in random matrix theory.
• However it still poses serious problems since up to now the calculation of all Rothstein contributions known as Efetov-Wegner terms in physics was quite cumbersome.
• We derive the supermatrix Bessel function with all Efetov-Wegner terms for an arbitrary rotation invariant probability density function.