CONSTRUCTION OF KINK SECTORS FOR 2-DIMENSIONAL QUANTUM-FIELD THEORY MODELS - AN ALGEBRAIC APPROACH

Several two-dimensional quantum field theory models have more than one vacuum state. Familiar examples are the Sine-Gordon and the phi(2)(4) -model. It is known that in these models there are also states, called kink states, which interpolate different vacua. A general constructio n scheme for kink states in the framework of algebraic quantum field t heory is developed in a previous paper. However, for the application o f this method, the crucial condition is the split property for wedge a lgebras in the vacuum representations of the considered models. It is believed that the vacuum representations of P(phi)(2)-models fulfill t his condition, but a rigorous proof is only known for the massive free scalar field. Therefore, we investigate in a construction of kink sta tes which can directly he applied to a large class of quantum field th eory models, by making use of the properties of the dynamics of a P(ph i)(2) and Yukawa(2) models.