TOPOLOGICAL VARIANTS OF LATTICE FIELD MODELS

The conventional Ising model is generalised so as to introduce a topol ogical frustration for both ferromagnetic and antiferromagnetic cases. This generalisation is extended to a broad class of lattice field mod els, including the conventional XY model and classical Heisenberg mode l as special cases. Twisted external fields are also introduced in a m anner symmetrical with respect to the intrinsic fields. The partition function and the two-point correlation function are explicitly determi ned for several varieties of twisted 1-dimensional chains with zero ex ternal field. Cohomological and fibre bundle interpretations are discu ssed.