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

来源：

NUCLEAR PHYSICS B | 2011年 / 852卷 / 01期

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

页码：149 / 173

页数：25

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