Nikolai Kitanine (Dijon)
Asymptotic analysis of correlation functions in critical quantum integrable models
We study the asymptotic behaviour of the
correlation functions of some massless quantum integrable systems. This problem first stated in 1931 in the original paper by H. Bethe is not completely solved but led to many important developments in particular for the asymptotic analysis of Toeplitz and
Fredholm determinants. In this talk Iíll present a recent approach based on a number of new hypergeometric identities. These identities closely related to the random partitions theory give the leading terms of the asymptotic for the most interesting (from
the physical point of view) two-point correlation functions.