1+1 Gaudin Model

Details 1+1 Gaudin Model 1+1 Gaudin Model

2010-12-06

arxiv.org/abs/1012.1072v2

SIGMA 7: 067,2011

Physics

Mathematical Physics

Scientific paper

10.3842/SIGMA.2011.067

We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For ${\rm sl}(N)$ case we introduce equations of motion and L-A pair with spectral parameter on the Riemann sphere and elliptic curve. In ${\rm sl}(2)$ case we study the equations in detail and find the corresponding Hamiltonian densities. The $n$-site model describes $n$ interacting Landau-Lifshitz models of magnets. The interaction depends on position of the sites (marked points on the curve). We also analyze the 2-site case in its own right and describe its relation to the principal chiral model. We emphasize that 1+1 version impose a restriction on a choice of flows on the level of the corresponding 0+1 classical mechanics.

Affiliated with

Also associated with

No associations

Rating

1+1 Gaudin 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 1+1 Gaudin Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 1+1 Gaudin Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-167006