The form factors and quantum equation of motion in the sine-Gordon model (Q2758412)

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scientific article; zbMATH DE number 1679787
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The form factors and quantum equation of motion in the sine-Gordon model
scientific article; zbMATH DE number 1679787

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    25 November 2003
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    quantum sine-Gordon model
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    form factor
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    Feynman graphs
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    massive Thirring
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    The form factors and quantum equation of motion in the sine-Gordon model (English)
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    This work continues a previous investigation [\textit{H. Babujian, A. Fring, M. Karowski} and \textit{A. Zapletal}, Nucl. Phys. B 538, 535-586 (1999; Zbl 0948.81599)] on exact form factors for the sine-Gordon alias the massive Thirring model. A general formula is presented which provides form factors in terms of an integral representation. In particular, chargeless operators as for example the current of the topological charge, the energy momentum tensor and all higher currents are considered. In the breather sector, it is found the quantum sine-Gordon field equation holds with an exact relation between the ``bare'' mass and the normalized mass. Also a relation for the trace of the energy-momentum is obtained. All results are compared with Feynman graph expansion.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00056].
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