Baxter's Q-operator for the homogeneous XXX spin chain

S.E. Derkachov

Baxter's Q-operator for the homogeneous XXX spin chain

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arxiv solv-int/9902015 v1 pith:DZGH6CAM submitted 1999-02-19 solv-int hep-thmath-phmath.MPnlin.SI

Baxter's Q-operator for the homogeneous XXX spin chain

S.E. Derkachov This is my paper

classification solv-int hep-thmath-phmath.MPnlin.SI

keywords q-operatorbaxterhomogeneousoperatorapplyingarisesasymptoticchain

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Applying the Pasquier-Gaudin procedure we construct the Baxter's Q-operator for the homogeneous XXX model as integral operator in standard representation of SL(2). The connection between Q-operator and local Hamiltonians is discussed. It is shown that operator of Lipatov's duality symmetry arises naturally as leading term of the asymptotic expansion of Q-operator for large values of spectral parameter.

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