Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model

Abstract We conjecture the quantum analogues of the classical trace formulae for the integrals of motion of the quantum hyperbolic Ruijsenaars-Schneider model. This is done by departing from the classical construction where the corresponding model is obtained from the Heisenberg double by the Poisso...

Full description

Bibliographic Details
Main Authors: Gleb Arutyunov, Rob Klabbers, Enrico Olivucci
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2019)069
Description
Summary:Abstract We conjecture the quantum analogues of the classical trace formulae for the integrals of motion of the quantum hyperbolic Ruijsenaars-Schneider model. This is done by departing from the classical construction where the corresponding model is obtained from the Heisenberg double by the Poisson reduction procedure. We also discuss some algebraic structures associated to the Lax matrix in the classical and quantum theory which arise upon introduction of the spectral parameter.
ISSN:1029-8479