Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets

F. H. L. Essler, H. Frahm, A. G. Izergin, V. E. Korepin

Published 1994-06-20, updated 1994-09-22Version 2

We consider correlation functions of the spin-$\half$ XXX and XXZ Heisenberg chains in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in terms of determinants of Fredholm integral operators.