OPE for XXX

Abstract

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.

arXiv comment14 pages, 1 figure

References in corpus (9)

• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
• On one-point functions for sinh-Gordon model at finite temperature
• Hidden Grassmann structure in the XXZ model V: sine-Gordon model
• Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field
• Exact evaluation of density matrix elements for the Heisenberg chain
• Completeness of a fermionic basis in the homogeneous XXZ model
• Fermionic basis for space of operators in the XXZ model

Cited by in corpus (5)

• New exact results on density matrix for XXX spin chain
• On the calculation of the correlation functions of the ${\mathfrak{sl}}_3$-model by means of the reduced qKZ equation
• Density matrices in integrable face models
• Fermion-current basis and correlation functions for the integrable spin 1 chain
• Fourth-neighbour two-point functions of the XXZ chain and the Fermionic basis approach