The complex sine-Gordon model on a half line

Abstract

In this paper, we examine the complex sine-Gordon model in the presence of a boundary, and derive boundary conditions that preserve integrability. We present soliton and breather solutions, investigate the scattering of particles and solitons off the boundary and examine the existence of classical solutions corresponding to boundary bound states.

32 pages, latex, 5 figures

References in corpus (3)

• Semi-classical spectrum of the Homogeneous sine-Gordon theories
• On duality and reflection factors for the sinh-Gordon model
• Field Theory for Coherent Optical Pulse Propagation

Cited by in corpus (7)

• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Aspects of Integrability in AdS/CFT Duality
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Giant magnons and non-maximal giant gravitons
• Quantum complex sine-Gordon model on a half line
• Defects and Dressed Boundaries in Complex Sine-Gordon Theory
• Algebraic structure of classical integrability for complex sine-Gordon