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Hidden Grassmann structure in the XXZ model

Abstract : For the critical XXZ model, we consider the space W of operators which are products of local operators with a disorder operator. We introduce two anti-commutative family of operators b(z), c(z) which act on the space W. These operators are constructed as traces over representations of the q-oscillator algebra, in close analogy with Baxter's Q-operators. We show that the vacuum expectation values of operators in W can be expressed in terms of an exponential of a quadratic form of b(z), c(z).
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Contributor : Fedor Smirnov Connect in order to contact the contributor
Submitted on : Wednesday, September 27, 2006 - 11:59:34 AM
Last modification on : Monday, December 14, 2020 - 9:41:40 AM

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H. Boos, M. Jimbo, T. Miwa, F. Smirnov, Y. Takeyama. Hidden Grassmann structure in the XXZ model. Communications in Mathematical Physics, Springer Verlag, 2007, 272, pp.263-281. ⟨10.1007/s00220-007-0202-x⟩. ⟨hal-00101474⟩



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