King's College London

Research portal

On characteristic polynomials for a generalized chiral random matrix ensemble with a source

Research output: Contribution to journalArticle

Yan V Fyodorov, Jacek Grela, Eugene Strahov

Original languageEnglish
JournalJournal Of Physics A-Mathematical And Theoretical
Volume51
Issue number13
Early online date5 Mar 2018
DOIs
Publication statusE-pub ahead of print - 5 Mar 2018

Documents

King's Authors

Abstract

We evaluate averages involving characteristic polynomials, inverse characteristic polynomials and ratios of characteristic polynomials for a $N\times N$ random matrix taken from a L-deformed chiral Gaussian Unitary Ensemble with an external source Ω. Relation to a recently studied statistics of bi-orthogonal eigenvectors in the complex Ginibre ensemble, see Fyodorov (2017 arXiv:1710.04699), is briefly discussed as a motivation to study asymptotics of these objects in the case of external source proportional to the identity matrix. In particular, for an associated complex bulk/chiral edge scaling regime we retrieve the kernel related to Bessel/Macdonald functions.

Download statistics

No data available

View graph of relations

© 2018 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454