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

Akemann G (2002)
Phys.Lett. B 547(1-2): 100-108.

Journal Article | Published | English

No fulltext has been uploaded

Abstract
The microscopic correlation functions of non-chiral random matrix models withcomplex eigenvalues are analyzed for a wide class of non-Gaussian measures. Inthe large-N limit of weak non-Hermiticity, where N is the size of the complexmatrices, we can prove that all k-point correlation functions including anarbitrary number of Dirac mass terms are universal close to the origin. To thisaim we establish the universality of the asymptotics of orthogonal polynomialsin the complex plane. The universality of the correlation functions thenfollows from that of the kernel of orthogonal polynomials and a mapping ofmassive to massless correlators.
Publishing Year
ISSN
PUB-ID

Cite this

Akemann G. Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity. Phys.Lett. B. 2002;547(1-2):100-108.
Akemann, G. (2002). Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity. Phys.Lett. B, 547(1-2), 100-108.
Akemann, G. (2002). Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity. Phys.Lett. B 547, 100-108.
Akemann, G., 2002. Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity. Phys.Lett. B, 547(1-2), p 100-108.
G. Akemann, “Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity”, Phys.Lett. B, vol. 547, 2002, pp. 100-108.
Akemann, G.: Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity. Phys.Lett. B. 547, 100-108 (2002).
Akemann, Gernot. “Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity”. Phys.Lett. B 547.1-2 (2002): 100-108.
This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Web of Science

View record in Web of Science®

Sources

arXiv hep-th/0206086

Search this title in

Google Scholar