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Zoekresultaten

Zoekopdracht: faculteit: "FNWI" en publicatiejaar: "2010"

AuteursM. Kormos, G. Mussardo, B. Pozsgay
TitelBethe ansatz matrix elements as non-relativistic limits of form factors of quantum field theory
TijdschriftJournal of Statistical Mechanics : Theory and Experiment
Jaar2010
Nummer05
Pagina'sP05014-
ISSN17425468
FaculteitFaculteit der Natuurwetenschappen, Wiskunde en Informatica
Instituut/afd.FNWI: Institute for Theoretical Physics (ITF)
SamenvattingWe show that the matrix elements of integrable models computed by the algebraic Bethe ansatz (BA) can be put in direct correspondence with the form factors of integrable relativistic field theories. This happens when the S-matrix of a Bethe ansatz model can be regarded as a suitable non-relativistic limit of the S-matrix of a field theory, and when there is a well-defined mapping between the Hilbert spaces and operators of the two theories. This correspondence provides an efficient method to compute matrix elements of Bethe ansatz integrable models, overcoming the technical difficulties of their direct determination. We analyze this correspondence for the simplest example in which it occurs, that is, the quantum nonlinear Schrödinger and the Sinh–Gordon models.
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