English

A quantum BRST anti-BRST approach to classical integrable systems

High Energy Physics - Theory 2009-11-10 v2 Exactly Solvable and Integrable Systems

Abstract

We reformulate the conditions of Liouville integrability in the language of Gozzi et al.'s quantum BRST anti-BRST description of classical mechanics. The Das-Okubo geometrical Lax equation is particularly suited to this approach. We find that the Lax pair and inverse scattering wavefunction appear naturally in certain sectors of the quantum theory.

Keywords

Cite

@article{arxiv.hep-th/0308112,
  title  = {A quantum BRST anti-BRST approach to classical integrable systems},
  author = {Michael Chesterman and Marcelo B. Silka},
  journal= {arXiv preprint arXiv:hep-th/0308112},
  year   = {2009}
}

Comments

12 pages, RevTex4. Added references

R2 v1 2026-07-22T15:18:41.457Z