arXiv subjects

K. Palamarchuk

Publications and source records attributed to K. Palamarchuk.

2 recordsLinked to original sources

arXiv2010

The 6-vertex model with fixed boundary conditions

We study the 6-vertex model with fixed boundary conditions. In the thermodynamical limit there is a formation of the limit shape. We collect most of the known results about the analytical properties of the free energy of the model as the function of electric fields and study the asymptotical behavior near singularities. We also study the asymptotic of limit shapes and the structure of correlation functions in the bulk.

math-ph↗

arXiv1999

Two-logarithm matrix model with an external field

We investigate the two-logarithm matrix model with the potential $XΛ+α\log(1+X)+β\log(1-X)$ related to an exactly solvable Kazakov-Migdal model. In the proper normalization, using Virasoro constraints, we prove the equivalence of this model and the Kontsevich-Penner matrix model and construct the 1/N-expansion solution of this model.

hep-th↗