Separation of variables for the quantum SL(2,R) spin chain

Details Separation of variables for the quantum SL(2,R) spin chain Separation of variables for the quantum SL(2,R) spin chain

2002-10-22

arxiv.org/abs/hep-th/0210216v2

JHEP 0307:047,2003

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, Latex style, 9 figures. References corrected, minor stylistic changes, version to be published

Scientific paper

We construct representation of the Separated Variables (SoV) for the quantum SL(2,R) Heisenberg closed spin chain and obtain the integral representation for the eigenfunctions of the model. We calculate explicitly the Sklyanin measure defining the scalar product in the SoV representation and demonstrate that the language of Feynman diagrams is extremely useful in establishing various properties of the model. The kernel of the unitary transformation to the SoV representation is described by the same "pyramid diagram" as appeared before in the SoV representation for the SL(2,C) spin magnet. We argue that this kernel is given by the product of the Baxter Q-operators projected onto a special reference state.

Affiliated with

Also associated with

No associations

Rating

Separation of variables for the quantum SL(2,R) spin chain 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 Separation of variables for the quantum SL(2,R) spin chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separation of variables for the quantum SL(2,R) spin chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-505846