On zero-remainder conditions in the Bethe ansatz
Etienne Granet, Jesper Lykke Jacobsen
Abstract
A bstract We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised algorithm based on QQ relations, and solving its minimality issue.
Topics & Concepts
PhysicsBethe ansatzRemainderZero (linguistics)AnsatzMathematical physicsQuantum electrodynamicsTheoretical physicsIntegrable systemMathematicsPhilosophyLinguisticsArithmeticAlgebraic structures and combinatorial modelsAdvanced Topics in AlgebraAdvanced Algebra and Geometry