Solvable Lattice model and zeta function
A correspondence between S^1 trace of the Gaussian free field on the unit disk and a distribution of Verblunsky coefficients leads to an intriguing identity which we call the super-telescoping formula. Using this formula we construct an exactly solvable non-homogeneous 1D Ising model. We further proceed with a natural construction of a statistical field model, with explicit hamiltonian, where the partition function is given by the Riemann zeta function. We finish with a discussion of the Lee-Yang theorem in relation to this lattice model and explore its connections to the Riemann hypothesis.