# The complex sine-Gordon model on a half line

@inproceedings{PBowcock2002TheCS, title={The complex sine-Gordon model on a half line}, author={P.Bowcock and G.Tzamtzis}, year={2002} }

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.

## 6 Citations

### Algebraic structure of classical integrability for complex sine-Gordon

- MathematicsSciPost Physics
- 2020

<jats:p>The algebraic structure underlying the classical
<jats:inline-formula><jats:alternatives><jats:tex-math>r</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"…

### Aspects of integrability in string sigma-models

- Physics
- 2015

The recent success in applying integrability-based methods to study examples of gauge/gravity dualities in highly (super)symmetric settings motivates the question of whether such methods can be…

### String theory in AdS 3 × S 3 × T 4 ?> with mixed flux: semiclassical and 1-loop phase in the S-matrix

- Physics
- 2014

We present a semiclassical derivation of the tree-level and 1-loop dressing phases in the massive sector of string theory on AdS 3 × S 3 × T 4 ?> supplemented by Ramond–Ramond and…

### Quantum complex sine-Gordon model on a half line

- Physics
- 2007

In this paper, we examine the quantum complex sine-Gordon model on a half line. We obtain the quantum spectrum of boundary bound states using the the semi-classical method of Dashen, Hasslacher and…

### Aspects of the Homogeneous Sine-Gordon models

- Physics
- 2002

The physical mass scales that determine the behaviour of general (simply-laced) Homogeneous Sine-Gordon models are investigated by means of a study of their finite-size effects, using the…

## References

SHOWING 1-10 OF 19 REFERENCES

### Unified Approach to Strings and Vortices with Soliton Solutions

- Physics, Mathematics
- 1976

A classical relativistic theory of one-dimensional extended objects interacting through a massless scalar field, of which they are in turn the source, is constructed. In the no-coupling limit, the…

### Quantum scattering of charged solitons in the complex sine-Gordon model

- Physics, Mathematics
- 1995

### Integrable Hamiltonian systems and interactions through quadratic constraints

- Physics, Mathematics
- 1976

On-invariant classical relativistic field theories in one time and one space dimension with interactions that are entirely due to quadratic constraints are shown to be closely related to integrable…

### Example of a Relativistic, Completely Integrable, Hamiltonian System

- Mathematics, Physics
- 1977

The initial value problem for a system of two relativistic scalar fields in two space-time dimensions is solved. One of them has a self-interaction of the sine-Gordon type, while the other is…

### Local conserved densities and zero-curvature conditions for Toda lattice field theories

- Mathematics
- 1985

### New Lorentz-invariant system with exact multisoliton solutions

- Physics, Mathematics
- 1977

A Lorentz-invariant equation is derived for a scalar complex field in two-dimensional space-time. Exact two-soliton solutions are obtained for this equation and can be generalized in trivial fashion…