Abstract
Using U q [SU(2)] tensor calculus we compute the two-point scalar operators (TPSO), their averages on the ground state give the two-point correlation functions. The TPSOs are identified as elements of the Temperley-Lieb algebra and a recurrence relation is given for them. We have not tempted to derive analytic expressions for the correlation functions in the general case but got some partial results. For q = e iπ/3 , all correlation functions are (trivially) zero, for q = e iπ/4 , they are related in the continuum to the correlation functions of left-handed and right-handed Majorana fields in the half-plane coupled by the boundary condition. In the case q = e iπ/6 , one gets the correlation functions of Mittag's and Stephen's parafermions for the three-state Potts model. A diagrammatic approach to compute correlation functions is also presented.
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