TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.20.2.041
TI  - An integrable deformed Landau-Lifshitz model with particle production?
PY  - 2026/02/11
UR  - https://scipost.org/SciPostPhys.20.2.041
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 20
IS  - 2
SP  - 041
A1  - de Leeuw, Marius
AU  - Fontanella, Andrea
AU  - Nieto García, Juan Miguel
AB  - We discuss the continuum limit of a non-Hermitian deformation of the Heisenberg XXX spin chain. This model appeared in the classification of $4×4$ solutions of the Yang-Baxter equation and it has the particular feature that the transfer matrix is non-diagonalisable. We show that the model is given by a Drinfeld twist of the XXX spin chain and its continuum limit is a non-unitary deformation of the Landau-Lifshitz model. We compute the tower of conserved charges for this deformed Landau-Lifshitz model and show that they are generated by a boost operator. We furthermore show that it gives a non-vanishing $1\to 2$ S-matrix, where one of the outgoing particles has vanishing energy and momentum, and thus it does not fulfil the usual "no particle production" condition of integrability. We argue that this result is natural when looked from the point of view of the non-diagonalisability of the spin chain.
ER  -

@Article{10.21468/SciPostPhys.20.2.041,
	title={{An integrable deformed Landau-Lifshitz model with particle production?}},
	author={Marius de Leeuw and Andrea Fontanella and Juan Miguel Nieto García},
	journal={SciPost Phys.},
	volume={20},
	pages={041},
	year={2026},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.20.2.041},
	url={https://scipost.org/10.21468/SciPostPhys.20.2.041},
}