Title of seminar
Correlation functions of the XXZ spin-1/2 Heisenberg chain
Lecturer:
Jean-Michel MAILLET, ENS, Lyon
Outline:
Using the algebraic Bethe ansatz method, and the resolution
of the quantum inverse scattering problem for local spin, we obtain
multiple integral representations of the $n$-point correlation functions
of the XXZ Heisenberg spin 1/2 chain in a constant magnetic field, in
both the massless and massive (anti-ferromagnetic) regimes.
For zero magnetic field, these results agree with the one obtained
from the q-deformed KZ equations (massless regime) and the
representation theory of the sl2 quantum affine algebra together
with the corner transfer matrix approach (massive regime) by Jimbo,
Miwa and their collaborators.
References: