## SciPost Submission Page

# Ground state solutions of inhomogeneous Bethe equations

### by S. Belliard, A. Faribault

#### - Published as SciPost Phys. 4, 030 (2018)

### Submission summary

As Contributors: | Samuel Belliard |

Arxiv Link: | http://arxiv.org/abs/1803.09666v3 |

Date accepted: | 2018-05-23 |

Date submitted: | 2018-05-07 |

Submitted by: | Belliard, Samuel |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Mathematical Physics |

Approaches: | Theoretical, Computational |

### Abstract

The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-$\frac{1}{2}$ chain is investigated. Numerical calculations shows that, for this state, the new inhomogeneous term does not contribute to the Baxter T-Q equation in the thermodynamic limit. Different families of Bethe roots are identified and their large N behaviour are conjectured and validated.

### Ontology / Topics

See full Ontology or Topics database.Published as SciPost Phys. 4, 030 (2018)

### Author comments upon resubmission

### List of changes

Following the Report 1, We add news comments in the conclusion and did the Requested changes.

### Submission & Refereeing History

- Report 2 submitted on 2018-05-17 09:26 by Prof. Cao
- Report 1 submitted on 2018-05-16 15:11 by
*Anonymous*

## Reports on this Submission

### Report 2 by Junpeng Cao on 2018-5-17 Invited Report

- Cite as: Junpeng Cao, Report on arXiv:1803.09666v3, delivered 2018-05-17, doi: 10.21468/SciPost.Report.453

### Report

All my questions are responded and the manuscript is modified. I recommend this paper to be published.

### Anonymous Report 1 on 2018-5-16 Invited Report

- Cite as: Anonymous, Report on arXiv:1803.09666v3, delivered 2018-05-16, doi: 10.21468/SciPost.Report.450

### Report

The authors have answered to the points I raised, the paper can be published