Correlation functions of the XXZ spin-1/2 chain: recent progress

J. M. Maillet Correlation functionsHamiltonian : H = 2 sinh η ∂∂λ log t(λ)∣ ∣λ=η2+ c for all ξ j = 0.Eigenstates of t(µ) : |ψ〉 = ∏ k B(λ k)|0〉 with {λ k } solution of the Bethe equations.• Action of local operators on eigenstatesResolution of the quantum inverse scattering problem : σ α m←−T (λ)σ − j=σ + j=∏j−1k=1j−1t(ξ k ) · B(ξ j ) ·∏t(ξ k ) · C(ξ j ) ·k=1j∏t −1 (ξ k ),k=1j∏t −1 (ξ k ),k=1j−1σ z j = ∏t(ξ k ) · (A− D ) (ξ j ) ·k=1j∏t −1 (ξ k ),k=1– Typeset by FoilTEX – Florence 2003 5