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Current operators in integrable spin chains: lessons from long range deformations

by Balázs Pozsgay

Submission summary

As Contributors: Balázs Pozsgay
Arxiv Link: https://arxiv.org/abs/1910.12833v2
Date submitted: 2019-11-26
Submitted by: Pozsgay, Balázs
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Quantum Physics
Approach: Theoretical

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.

Current status:
Editor-in-charge assigned


Submission & Refereeing History

Submission 1910.12833v2 on 26 November 2019

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