Construction and exact solution of a nonlinear quantum field model in quasi-higher dimension

Abstract

Nonperturbative exact solutions are allowed for quantum integrable models in one space-dimension. Going beyond this class we propose an alternative Lax matrix approach, exploiting the hidden multi-time concept in integrable systems and construct a novel quantum nonlinear Schroedinger model in quasi-two dimensions. An intriguing field commutator is discovered, confirming the integrability of the model and yielding its exact Bethe ansatz solution with rich scattering and bound-state properties. The universality of the scheme is expected to cover diverse models, opening up a new direction in the field.

12 pages, 1 figure, Latex (This version to be published in Nucl Phys B as Frontiers Article)

References in corpus (1)

• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials

Cited by in corpus (1)

• Dispersionless (3+1)-dimensional integrable hierarchies