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Identifying the Operator Content, the Homogeneous Sine-Gordon models

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arxiv hep-th/0008044 v2 pith:CGK2NKEH submitted 2000-08-04 hep-th cond-mat

Identifying the Operator Content, the Homogeneous Sine-Gordon models

classification hep-th cond-mat
keywords fieldtheorycontentformgeneralhomogeneousoperatoroperators
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We address the general question of how to reconstruct the field content of a quantum field theory from a given scattering theory in the context of the form factor program. For the $SU(3)_2$-homogeneous Sine-Gordon model we construct systematically all $n$-particle form factors for a huge class of operators in terms of general determinant formulae. We investigate how different operators are interrelated by the momentum space cluster property. Finally we compute several two-point correlation functions and carry out the ultraviolet limit in order to identify each operator with its corresponding partner in the underlying conformal field theory.

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