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Form factors of the homogeneous sine-Gordon models. (English) Zbl 1050.81576

Summary: We provide general determinant formulae for all \(n\)-particle form factors related to the trace of the energy momentum tensor and the analogue of the order and disorder operator in the SU\((3)_2\)-homogeneous sine-Gordon model. We employ the form factors related to the trace of the energy momentum tensor in the application of the \(c\)-theorem and find perfect agreement with the physical picture recently obtained by means of the thermodynamic Bethe ansatz. For a finite resonance parameter we recover the expected WZNW-coset central charge and for an infinite resonance parameter the theory decouples into two free fermions.

MSC:

81T10 Model quantum field theories
81R12 Groups and algebras in quantum theory and relations with integrable systems
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References:

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