To be announcedFunctional relations for the six vertex model with domain wall boundaries
Wellington Galleas - Max Planck (Potsdam)
Tuesday 25th May, 2010 15:00-16:00 Mathematics Building, room 204
For the last three decades the six vertex model with domain wall boundaries has been intensively studied and many connections with enumerative combinatorics and orthogonal polynomials theory have been unveiled. From the physical point of view this model offers a prime example on how boundary conditions can drastically change the bulk properties of the system even in the thermodynamic limit. In this talk I will consider the problem of calculating the partition function of the six vertex model with domain wall boundary conditions using functional equations. We shall demonstrate that the partition function of the model satisfy a certain functional equation as a direct consequence of the Yang-Baxter algebra. One of the interesting features of the proposed functional equation lies on the fact that it reduces to a linear ordinary differential equation in the homogeneous limit.