Popis: |
The purpose of the “bootstrap program” for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, the “bootstrap program” is briefly reviewed and mainly illustrated in terms of the SU(N) Gross-Neveu model and the O(N) σ-model. Systems of SU(N)and O(N)matrix difference equations are solved by means of the off-shell version of the nested algebraic Bethe ansatz. In the nesting process for the O(N) case a new object, the Πmatrix, is introduced to overcome the complexities of the O(N) group structure. Some explicit examples are discussed. |