Work

Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity

Year: 2002

Type: article

Abstract: The microscopic correlation functions of non-chiral random matrix models with complex eigenvalues are analyzed for a wide class of non-Gaussian measures. In the large-N limit of weak non-Hermiticity, where N is the size of the complex matrices, we can prove that all k-point correlation functions including an arbitrary number of Dirac mass terms are universal close to the origin. To this aim we establish the universality of the asymptotics of orthogonal polynomials in the complex plane. The universality of the correlation functions then follows from that of the kernel of orthogonal polynomials and a mapping of massive to massless correlators.

Source: Physics Letters B

DOI: 10.1016/s0370-2693(02)02737-5

Author: G. Akemann

Institutions: Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, CEA Paris-Saclay

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

OpenAlex ID: W2017602993

FWCI: 2.511

Cites: 38

Cited by: 17

Related to: 10