Current operators in integrable spin chains: lessons from long range deformations
Balázs Pozsgay
SciPost Phys. 8, 016 (2020) · published 3 February 2020
- doi: 10.21468/SciPostPhys.8.2.016
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Abstract
We consider the finite volume mean values of current operators in integrable spin chains with local interactions, and provide an alternative derivation of the exact result found recently by the author and two collaborators. We use a certain type of long range deformation of the local spin chains, which was discovered and explored earlier in the context of the AdS/CFT correspondence. This method is immediately applicable also to higher rank models: as a concrete example we derive the current mean values in the SU(3)-symmetric fundamental model, solvable by the nested Bethe Ansatz. The exact results take the same form as in the Heisenberg spin chains: they involve the one-particle eigenvalues of the conserved charges and the inverse of the Gaudin matrix.
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Author / Affiliation: mappings to Contributors and Organizations
See all Organizations.- Emberi Eroforrások Minisztériuma (through Organization: Emberi Erőforrások Minisztérium / Ministry of Human Capacities [Emmi])
- Magyar Tudományos Akadémia / Hungarian Academy of Sciences [MTA]
- Nemzeti Kutatási, Fejlesztési és Innovációs Hivatal / National Research, Development and Innovation Office [NKFIH]