Construction of Kink Sectors for Two-Dimensional Quantum Field Theory Models – An Algebraic Approach

Dirk Schlingemann
1998 Reviews in Mathematical Physics  
Several two-dimensional quantum field theory models have more than one vacuum state. Familiar examples are the Sine-Gordon and the 4 2 -model. It is known that in these models there are also states, called kink states, which interpolate different vacua. A general construction scheme for kink states in the framework of algebraic quantum field theory is developed in a previous paper. However, for the application of this method, the crucial condition is the split property for wedge algebras in the
more » ... vacuum representations of the considered models. It is believed that the vacuum representations of P ( ) 2 -models fulfill this condition, but a rigorous proof is only known for the massive free scalar field. Therefore, we investigate in a construction of kink states which can directly be applied to a large class of quantum field theory models, by making use of the properties of the dynamics of a P ( ) 2 and Yukawa 2 models.
doi:10.1142/s0129055x98000288 fatcat:mt4maw6ypveptfevvtaa26tbti