A Q-operator for the twisted XXX model

Details A Q-operator for the twisted XXX model A Q-operator for the twisted XXX model

2005-11-06

arxiv.org/abs/math-ph/0511022v1

J. Phys. A: Math. Gen. 39 (2006) 3203-3219

Physics

Mathematical Physics

19 pages

Scientific paper

10.1088/0305-4470/39/13/002

Taking the isotropic limit in a recent representation theoretic construction of Baxter's Q-operators for the XXZ model with quasi-periodic boundary conditions we obtain new results for the XXX model. We show that quasi-periodic boundary conditions are needed to ensure convergence of the Q-operator construction and derive a quantum Wronskian relation which implies two different sets of Bethe ansatz equations, one above the other below the "equator" of total spin zero. We discuss the limit to periodic boundary conditions at the end and explain how this construction might be useful in the context of correlation functions on the infinite lattice. We also identify a special subclass of solutions to the quantum Wronskian for chains up to a length of 10 sites and possibly higher.

Affiliated with

Also associated with

No associations

Rating

A Q-operator for the twisted XXX model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Q-operator for the twisted XXX model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Q-operator for the twisted XXX model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-686926