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

J. M. Maillet Correlation functionsCorrelation functions : elementary blocksj=1F m ({ɛ j , ɛ ′ j }) = 〈ψ g | m ∏E ɛ′ j ,ɛ jj|ψ g 〉〈ψ g |ψ g 〉E ɛ′ ,ɛlk= δ l,ɛ ′δ k,ɛSolution of the quantum inverse scattering problem + Yang-Baxter algebra of operatorsT (λ) −→ Multiple integral formula for the correlation functionsmF m ({ɛ j , ɛ ′ j }) = ( ∏∫k=1C h kdλ k ) Ω m ({λ k }, {ɛ j , ɛ ′ j }) S h({λ k })where Ω m ({λ k }, {ɛ j , ɛ ′ j }) is purely algebraic and S h({λ k }), C h kregime and the magnetic field h.are depending on the−→ Proof of the results and conjectures of Jimbo, Miwa et al. and extension to the nonzero magnetic field h (a case where the quantum affine symmetry is broken)– Typeset by FoilTEX – Florence 2003 8