Third neighbor and other four point correlation functions of spin-1/2 XXZ chain

Feb, 2004
34 pages
Published in:
  • J.Phys.A 37 (2004) 5097-5123
e-Print:

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Abstract: (arXiv)
The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1<\Delta \leq 1 and 1<\Delta. In particular, adjacent four-point correlation functions were given as certain four-dimensional integrals. We show that these integrals can be reduced to polynomials with respect to specific one-dimensional integrals. The results give the polynomial representation of the third-neighbor correlation functions.
Note:
  • 34 pages Subj-class: Statistical Mechanics: Mathematical Physics: Exactly Solvable and Integrable Systems