Many-point correlation functions of the two-dimensional Ising model

R. Z. Bariev

K. Manivannan

Bülent Kutlu, Nevzat AKTEKİN

Barry M. McCoy, Craig A. Tracy, Tai Tsun Wu

For both $T>{T}_{c}$ and $T<{T}_{c}$, we report exact expressions for the $n$-spin correlation function of the two-dimensional Ising model suitable for studying large separations between spins. In particular, the scaling limit of these correlation functions can be shown to exist and yields $n$-point Schwinger functions of some relativistic quantum field theories.

R. Z. Bariev

R. Z. Bariev

Exact results are obtained for the local magnetisation and correlation functions of the two-dimensional Ising model with a line defect which produces large-scale inhomogeneity in its vicinity. It is shown that near the critical point the correlation functions exhibit a non-scaling behaviour.