# Transmission amplitudes from Bethe ansatz equations

@article{Doikou2012TransmissionAF, title={Transmission amplitudes from Bethe ansatz equations}, author={Anastasia Doikou and Nikos Karaiskos}, journal={Journal of High Energy Physics}, year={2012}, volume={2013}, pages={1-24} }

A bstractWe consider the Heisenberg spin chain in the presence of integrable spin defects. Using the Bethe ansatz methodology, we extract the associated transmission amplitudes, that describe the interaction between the particle-like excitations displayed by the models and the spin impurity. In the attractive regime of the XXZ model, we also derive the breather’s transmission amplitude. We compare our findings with earlier relevant results in the context of the sine-Gordon model.

## 12 Citations

### Transmission matrices in gl N & Uq(gl N ) quantum spin chains

- Physics
- 2013

The gl N and Uq(gl N ) quantum spin chains in the presence of integrable spin impurities are considered. Within the Bethe ansatz formulation, we derive the associated transmission amplitudes, and the…

### Space & time discontinuities in Liouville theory and its discrete analogue

- Mathematics
- 2016

We consider the deformed harmonic oscillator as a discrete version of the Liouville theory and study this model in the presence of local integrable defects. From this, the time evolution of the…

### A ug 2 01 3 Transmission matrices in gl N & U q ( gl N ) quantum spin chains

- Physics
- 2013

The glN and Uq(glN ) quantum spin chains in the presence of integrable spin impurities are considered. Within the Bethe ansatz formulation, we derive the associated transmission amplitudes, and the…

### A note on glN?> type-I integrable defects

- Mathematics
- 2013

Type-I quantum defects are considered in the context of the glN?> spin chain. The type-I defects are associated with the generalized harmonic oscillator algebra, and the chosen defect matrix is that…

### Lax pair formulation in the simultaneous presence of boundaries and defects

- Mathematics
- 2015

Inspired by recent results on the effect of integrable boundary conditions on the bulk behavior of an integrable system, and in particular on the behavior of an existing defect, we systematically…

### ph ] 2 F eb 2 01 4 A note on gl N type-I integrable defects

- Mathematics
- 2014

Type-I quantum defects are considered in the context of the glN spin chain. The type-I defects are associated to the generalized harmonic oscillator algebra, and the chosen defect matrix is the one…

### 2 2 A ug 2 01 3 Transmission matrices in gl N & U q ( gl N ) quantum spin chains

- Physics
- 2013

The glN and Uq(glN ) quantum spin chains in the presence of integrable spin impurities are considered. Within the Bethe ansatz formulation, we derive the associated transmission amplitudes, and the…

## References

SHOWING 1-10 OF 51 REFERENCES

### Direct calculation of breather S matrices

- Physics
- 1999

We formulate a systematic Bethe ansatz approach for computing bound-state (`breather') S matrices for integrable quantum spin chains. We use this approach to calculate the breather boundary S matrix…

### Inverse scattering approach for massive Thirring models with integrable type-II defects

- Mathematics
- 2012

We discuss the integrability of the bosonic and Grassmannian massive Thirring models in the presence of defects through the inverse scattering approach. We present a general method to compute the…

### Simplified calculation of boundary S matrices

- Physics
- 1997

The antiferromagnetic Heisenberg spin chain with N spins has a sector with N= odd, in which the number of excitations is odd. In particular, there is a state with a single one-particle excitation. We…

### Algebraic Aspects of the Bethe Ansatz

- Mathematics
- 1994

In this article an introduction to the algebraic aspects of the Bethe ansatz is given. The applications to the seminal spin 1/2 XXX model are discussed in detail and the generalization to higher spin…

### The quantum nonlinear Schrödinger model with point-like defect

- Physics, Mathematics
- 2004

We establish a family of point-like impurities which preserve the quantum integrability of the nonlinear Schrodinger model in 1+1 spacetime dimensions. We briefly describe the construction of the…

### Factorization of multiparticle scattering in the Heisenberg spin chain

- Physics
- 1997

We give an explicit proof within the framework of the Bethe ansatz/string hypothesis of the factorization of multiparticle scattering in the antiferromagnetic spin-1/2 Heisenberg spin chain, for the…

### Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model

- Physics
- 1984

The work gives a consistent and uniform exposition of all known results related to Heisenberg model. The classification of excitations is presented and their scattering is described both in…