Potts q-color field theory and scaling random cluster model

被引:29
作者
Delfino, Gesualdo [1 ,2 ]
Viti, Jacopo [1 ,2 ]
机构
[1] SISSA, I-34136 Trieste, Italy
[2] Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy
关键词
DUALITY RELATIONS; PERCOLATION; RATIOS;
D O I
10.1016/j.nuclphysb.2011.06.012
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:149 / 173
页数:25
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