58 citations · 85 across the 8 of their papers we have counts for
8 papers
Correlators in the theory of Integral Discriminants
A. Morozov, Sh. Shakirov
Integral discriminants provide a simple and fundamental model for non-Gaussian integrals, associated with homogeneous polynomials of degree r in n variables. We argue that, in this…
Group character averages via a single Laguerre
Alexei Morozov, Kazumi Okuyama
Average of exponential , i.e. of a group rather than an algebra character, in Gaussian matrix model is known to be an amusing generalization of Schur polynomial, wh…
Averages of Exponentials from the point of view of Superintegrability
A. Morozov
We calculate Gaussian averages of arbitrary exponentials of the matrix variable with the help of superintegrability, which provides explicit expressions for Schur averages. As…
Conformal blocks of Wess-Zumino-Witten model from its free-field representation
Alexei Morozov, Hasib Sifat
A powerful approach to the celebrated Wess-Zumino-Witten (WZW) model is provided by its free-field realization. However, explicit calculations of conformal blocks are not described…
Itzykson-Zuber correlators from character expansion
Alexei Morozov, Hasib Sifat
We demonstrate the consistency of character expansion for the Itzykson-Zuber (IZ) model in terms of Schur polynomials with the old formulas for pair correlators with the IZ measure…
On character expansion and Gaussian regularization of Itzykson-Zuber measure
A. Morozov, A. Oreshina
Character expansions are among the most important approaches to modern quantum field theory, which substitute integrals by combinations of peculiar special functions from the Schur…
Unitary Integrals and Related Matrix Models
A. Morozov
Concise review of the basic properties of unitary matrix integrals. They are studied with the help of the three matrix models: the ordinary unitary model, Brezin-Gross-Witten model…
Charge screening in the Higgs phase of Chern-Simons electrodynamics
F. Alexander Bais, A. Morozov, M. de Wild Propitius
Though screened at large distances, a point-like electric charge can still participate in a long-range electromagnetic interaction in the Higgs phase, namely that with the Aharonov…