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

J. M. Maillet Correlation functions+ Yang-Baxter algebra for A, B, C, D to get the action on arbitrary states, for example〈0|N∏C(λ k ) A(λ N+1 ) =k=1N+1∑a ′ =1Λ a ′ 〈0|N+1∏C(λ k )k=1k≠a ′• Scalar products :〈0|N∏C(µ j )j=1N∏k=1B(λ k ) |0〉 = detU({µ j}, {λ k })detV ({µ j }, {λ k })for {λ k } a solution of Bethe equations and {µ j } an arbitrary set of parameters, :U ab = ∂ λ aτ(µ b , {λ k }), V ab =1, 1 a, b N,sinh(µ b − λ a )where τ(µ b , {λ k }) is the eigenvalue of the transfer matrix t(µ b )– Typeset by FoilTEX – Florence 2003 6