Wigner law for matrices with dependent entries - a perturbative approach
  We show that Wigner semi-circle law holds for Hermitian matrices with dependent entries, provided the deviation of the cumulants from the normalised Gaussian case obeys a simple power law bound in the size of the matrix. To establish this result, we use replicas interpreted as a zero-dimensional quantum field theoretical model whose effective potential obey a renormalisation group equation. 
T. Krajewski, A. Tanasa, D. L. Vu
math-ph hep-th math.CO math.MP