Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-10-19
Nucl.Phys. B415 (1994) 533-556
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, LaTeX, BONN-HE-93-35
Scientific paper
10.1016/0550-3213(94)90302-6
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 the analytic expressions for the correlation functions in the general case but got some partial results. For $q=e^{i \pi/3}$, all correlation functions are (trivially) zero, for $q=e^{i \pi/4}$, 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 $q=e^{i \pi/6}$, 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.
Hinrichsen Haye
Martin Pamela
Rittenberg Vladimir
Scheunert M.
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