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

Abstract

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.

23 pages, Latex

References in corpus (3)

• Integrability of three-particle evolution equations in QCD
• Few remarks on Baecklund transformations for many-body systems
• Duality symmetry of Reggeon interactions in multicolour QCD

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