English

Problems with using separated variables for computing expectation values for higher ranks

Mathematical Physics 2016-03-23 v2 math.MP

Abstract

We consider the simplest classical integrable model corresponding to a non-hyperelliptic spectral curve. We show that a certain complicated integral occurs when computing the average of observables in this model. This integral does not factorise. Since similar problems should also exist in the quantum case, we think that a serious question arises of how to deal with these integrals.

Keywords

Cite

@article{arxiv.1506.08042,
  title  = {Problems with using separated variables for computing expectation values for higher ranks},
  author = {D. Martin and F. Smirnov},
  journal= {arXiv preprint arXiv:1506.08042},
  year   = {2016}
}

Comments

15 pages, acknowledgement added

R2 v1 2026-06-22T10:00:49.835Z