Correlation functions of the XXZ spin-1/2 chain: recent progress
Correlation functions of the XXZ spin-1/2 chain: recent progress
Correlation functions of the XXZ spin-1/2 chain: recent progress
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J. M. Maillet <strong>Correlation</strong> <strong>functions</strong><strong>Correlation</strong> <strong>functions</strong> : 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 <strong>of</strong> <strong>the</strong> quantum inverse scattering problem + Yang-Baxter algebra <strong>of</strong> operatorsT (λ) −→ Multiple integral formula for <strong>the</strong> correlation <strong>functions</strong>mF 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 <strong>the</strong> magnetic field h.are depending on <strong>the</strong>−→ Pro<strong>of</strong> <strong>of</strong> <strong>the</strong> results and conjectures <strong>of</strong> Jimbo, Miwa et al. and extension to <strong>the</strong> nonzero magnetic field h (a case where <strong>the</strong> quantum affine symmetry is broken)– Typeset by FoilTEX – Florence 2003 8