We study structural properties of the q-color Potts field theory which, for real values of q, describes the scaling limit of the random cluster model. We show that the number of independent n-point Potts spin correlators coincides with that of independent n-point cluster connectivities and is given by generalized Bell numbers. Only a subset of these spin correlators enters the determination of the Potts magnetic properties for q integer. The structure of the operator product expansion of the spin fields for generic q is also identified. For the two-dimensional case, we analyze the duality relation between spin and kink field correlators, both for the bulk and boundary cases, obtaining in particular a sum rule for the kink–kink elastic scattering amplitudes.
|Titolo:||Potts q-color field theory and scaling random cluster model|
|Autori:||Delfino, Gesualdo; Viti, J.|
|Data di pubblicazione:||2011|
|Digital Object Identifier (DOI):||10.1016/j.nuclphysb.2011.06.012|
|Appare nelle tipologie:||1.1 Journal article|