On the non-relativistic limit of the quantum sine-Gordon model with integrable boundary condition

Abstract

We show that the the generalized Calogero-Moser model with boundary potential of the Pöschl-Teller type describes the non-relativistic limit of the quantum sine-Gordon model on a half-line with Dirichlet boundary condition.

6 pages, CALT-68-1949, USC-94-015

Cited by in corpus (13)

• The boundary sine-Gordon theory: classical and semi-classical analysis
• Multicomponent Calogero Model of $B_N$-Type Confined in Harmonic Potential
• Integrable $1/r^2$ Spin Chain with Reflecting End
• The hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars-Schneider-van Diejen models: Lax matrices and duality
• Spin dependent extension of Calogero-Sutherland model through anyon like representations of permutation operators
• Action-angle duality between the C(n)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models
• Scattering theory of the hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars--Schneider--van Diejen models
• Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters
• Critical Properties of the Calogero-Sutherland Model with Boundaries
• On the scattering theory of the classical hyperbolic C(n) Sutherland model
• Self-duality and scattering map for the hyperbolic van Diejen systems with two coupling parameters (with an appendix by S. Ruijsenaars)
• Integrable many-body systems of Calogero-Ruijsenaars type
• Nonrelativistic Factorizable Scattering Theory of Multicomponent Calogero-Sutherland Model