====== Lattice approach to integrable quantum field theories and applications ======

\\

We shall consider conformal quantum field theories and integrable massive
quantum field theories starting from their lattice regularizations
provided by the six-vertex model. In previous work we have completely
clarified the structure of the correlation functions of this model.
We could explain their factorization, that was observed before,
by means of a hidden Fermionic structure on the space of (quasi-)
local operators. In this project we will study different scaling
limits of the Fermionic structure. For conformal field thories
we want to show that the scaling limit of this structure induces
a basis on the Verma moduls. We plan to study the operator product
expansion in this new basis. We expect that the recursion relation
for the conformal blocks will simplify in this basis. To achieve
our goal we will have to generalize the factorization theorem for the 
six-vertex-model of Jimbo, Miwa and Smirnov from correlation
functions to form factors. If this is successful we will have a
new and direct access to the correlation functions of the 
Sine-Gordon model.