A quantum BRST anti-BRST approach to classical integrable systems

Details A quantum BRST anti-BRST approach to classical integrable systems A quantum BRST anti-BRST approach to classical integrable systems

2003-08-18

arxiv.org/abs/hep-th/0308112v2

Mod.Phys.Lett. A19 (2004) 693-702

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, RevTex4. Added references

Scientific paper

10.1142/S0217732304013611

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.

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