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2017

OPE for XXX

Di Francesco, Philippe, Smirnov, Fedor

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We explain a new method for finding the correlation functions for the XXX model which is based on the concepts of Operator Product Expansion of Quantum Field Theory on one hand and of fermionic bases for the XXX spin chain on the other.

With this method we are able to perform computations for up to 11 lattice sites.
We show that these "experimental" data allow to guess exact formulae for the OPE coefficients.

OPE for XXX · Around

Built on

The quantum inverse problem method Theoretical and Mathematical Physics
L.D. Faddeev, E.K. Sklyanin, L.A. takhtajan · 1980
Earlier work this paper cites.
Calculation of scalar products of wave functions and form factors in the framework of the alcebraic Bethe ansatz Theoretical and Mathematical Physics
N.A. Slavnov · 1989
Earlier work this paper cites.
Quantum inverse scattering method and correlation functions Cambridge University Press
V.E. Korepin, N.M. Bogoliubov, A.G. Izergin · 1993
Earlier work this paper cites.
Long-distance asymptotics of spinÐspin correlation functions for the XXZ spin chain Nuclear Physics
S. Lukyanov, V. Terras · 2003
Earlier work this paper cites.

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