Integral operators with the generalized sine-kernel on the real axis

A. G. Izergin; A. G. Izergin; A. Lenard; A. Lenard; A. M. Budylin; A. R. Its; A. R. Its; A. R. Its; A. R. Its; B. M. McCoy; B. Nobl; F. Colomo; F. Colomo; F. Dyson; H. Widom; H. Widom; H. Widom; J. d. Cloizeaux; M. Gaudin; M. Jimbo; M. L. Mehta; N. A. Slavnov; N. I. Akhiezer; N. Kitanine; P. A. Deift; P. A. Deift; P. Deift; T. Ehrhardt; V. E. Korepin; V. E. Korepin; V. Fock; V. I. Krasovsky; V. V. Cheianov

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Integral operators with the generalized sine-kernel on the real axis

Authors: A. G. Izergin
A. G. Izergin
A. Lenard
A. Lenard
A. M. Budylin
A. R. Its
A. R. Its
A. R. Its
A. R. Its
B. M. McCoy
B. Nobl
F. Colomo
F. Colomo
F. Dyson
H. Widom
H. Widom
H. Widom
J. d. Cloizeaux
M. Gaudin
M. Jimbo
M. L. Mehta
N. A. Slavnov
N. I. Akhiezer
N. Kitanine
P. A. Deift
P. A. Deift
P. Deift
T. Ehrhardt
V. E. Korepin
V. E. Korepin
V. Fock
V. I. Krasovsky
V. V. Cheianov
Publication date: 27 May 2010
Publisher: 'Springer Science and Business Media LLC'
Doi

Abstract

The asymptotic properties of integral operators with the generalized sine kernel acting on the real axis are studied. The formulas for the resolvent and the Fredholm determinant are obtained in the large x limit. Some applications of the results obtained to the theory of integrable models are considered.Comment: 17 pages, 2 Postscript figures, submitted to Theor. Math. Phy

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