Trying to understand how the Algebraic Bethe Ansatz works, I'm actually reading some papers and trying to apply for XXZ or XYZ model. But my problem is that I don't know how to find the R-matrix describing the considered model without using vertex models (their classical equivalent). I know that it is somehow related to quantum groups, but this is a little bit confusing, can someone tell me if starting from the Hamiltonian of XYZ/XXZ spin chain I can get the corresponding R-matrix?
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The vertex models are just the Euclidean partition function with lots of complete basis insertions everywhere. What's wrong with using them? – Ryan Thorngren Mar 31 '18 at 16:42
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No, i mean the point is that to derive the R-matrix of some quantum spin chain, there is a way which is to study it's classical equivalent a vertex model (XXZ spin chain is equivalent to the 6-vertex model) my question concerns the R-matrix itself, if i can derive it expression just from the Hamiltonian of the spin chain – Giuseppe Apr 01 '18 at 02:08
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See my answer to a similar question of yours: https://physics.stackexchange.com/a/397890 – Jules Lamers Apr 05 '18 at 16:00