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  From Baxter Q-Operators to Local Charges

Frassek, R., & Meneghelli, C. (2013). From Baxter Q-Operators to Local Charges. Journal of Statistical Mechanics: Theory and Experiment, 2013(2): P02019. doi:10.1088/1742-5468/2013/02/P02019.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-D255-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-1995-3
Genre: Journal Article

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1207.4513 (Preprint), 317KB
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 Creators:
Frassek, Rouven, Author
Meneghelli, Carlo1, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,Nonlinear Sciences, Exactly Solvable and Integrable Systems, nlin.SI
 Abstract: We discuss how the shift operator and the Hamiltonian enter the hierarchy of Baxter Q-operators in the example of gl(n) homogeneous spin-chains. Building on the construction that was recently carried out by the authors and their collaborators, we find that a reduced set of Q-operators can be used to obtain local charges. The mechanism relies on projection properties of the corresponding R-operators on a highest/lowest weight state of the quantum space. It is intimately related to the ordering of the oscillators in the auxiliary space. Furthermore, we introduce a diagrammatic language that makes these properties manifest and the results transparent. Our approach circumvents the paradigm of constructing the transfer matrix with equal representations in quantum and auxiliary space and underlines the strength of the Q-operator construction.

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 Dates: 2012-07-182013
 Publication Status: Published in print
 Pages: 24 pages, several figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1207.4513
DOI: 10.1088/1742-5468/2013/02/P02019
 Degree: -

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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Publishing
Pages: - Volume / Issue: 2013 (2) Sequence Number: P02019 Start / End Page: - Identifier: ISSN: 1742-5468
CoNE: /journals/resource/111076098244006