Factorization of the R-matrix and Baxter's Q-operator
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 20, Tome 347 (2007), pp. 144-166
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The general rational solution of the Yang–Baxter equation with the symmetry algebra $s\ell(2)$ can be represented as the product of the simpler building blocks denoted as $\mathcal R$-operators. The $\mathcal R$-operators are constructed explicitly and have simple structure. Using the $\mathcal R$-operators we construct the two-parametric Baxter's Q-operator for the generic inhomogeneous XXX-spin chain. In the case of homogeneous XXX-spin chain it is possible to reduce the general Q-operator to the much simpler one-parametric Q-operator.
@article{ZNSL_2007_347_a8,
author = {S. \`E. Derkachev},
title = {Factorization of the {R-matrix} and {Baxter's} {Q-operator}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {144--166},
publisher = {mathdoc},
volume = {347},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_347_a8/}
}
S. È. Derkachev. Factorization of the R-matrix and Baxter's Q-operator. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 20, Tome 347 (2007), pp. 144-166. http://geodesic.mathdoc.fr/item/ZNSL_2007_347_a8/