Strong coupling limit of Bethe Ansatz equations

Details Strong coupling limit of Bethe Ansatz equations Strong coupling limit of Bethe Ansatz equations

2007-03-05

arxiv.org/abs/hep-th/0703031v2

Nucl.Phys.B789:413-451,2008

Physics

High Energy Physics

High Energy Physics - Theory

Typos corrected, references added, discrepancy with Beccaria at al. eliminated

Scientific paper

10.1016/j.nuclphysb.2007.06.017

We develop a method to analyze the strong coupling limit of the Bethe ansatz equations supposed to give the spectrum of anomalous dimensions of the planar ${\cal N}=4$ gauge theory. This method is particularly adapted for the three rank-one sectors, $su(2)$, $su(1|1)$ and $sl(2)$. We use the elliptic parametrization of the Bethe ansatz variables, which degenerates to a hyperbolic one in the strong coupling limit. We analyze the equations for the highest excited states in the su(2) and $su(1|1)$ sectors and for the state corresponding to the twist-two operator in the $sl(2)$ sector, both without and with the dressing kernel. In some cases we were able to give analytic expressions for the leading order magnon densities. Our method reproduces all existing analytical and numerical results for these states at the leading order.

Affiliated with

Also associated with

No associations

Rating

Strong coupling limit of Bethe Ansatz equations 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 Strong coupling limit of Bethe Ansatz equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong coupling limit of Bethe Ansatz equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-113851