Journal Article

PUBDB-2019-02813

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png On the Separation of Variables for the Modular XXZ Magnet and the Lattice Sinh-Gordon Models

Derkachov, S. É. ; Kozlowski, K. K. (Corresponding author) ; Manashov, A. N.Extern*

2019
Springer International Publishing AG Cham, Switzerland

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Please use a persistent id in citations: doi:10.1007/s00023-019-00806-2  doi:10.3204/PUBDB-2019-02813

Report No.: DESY-18-088; arXiv:1806.04487

Abstract: We construct the generalised eigenfunctions of the entries of the monodromy matrix of the N-site modular XXZ magnet and show, in each case, that these form a complete orthogonal system in $L^{2}(\mathbb{R}^{N})$. In particular, we develop a new and simple technique, allowing one to prove the completeness of such systems. As a corollary of our analysis, we prove the Bytsko–Teschner conjecture relative to the structure of the spectrum of the $B(λ)$-operator for the odd length lattice Sinh-Gordon model.

Keyword(s): modular ; lattice field theory ; magnet ; monodromy ; XXZ model ; sine-Gordon model ; operator: spectrum ; Hilbert space ; Mellin transformation

Note: (c) Springer Nature Switzerland AG

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Contributing Institute(s):

1. Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2019

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Database coverage:
; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Derkachov, S. E. ; Kozlowski, K. K. (Corresponding author) ; Manashov, A. N.
On the separation of variables for the modular XXZ magnet and the lattice Sinh-Gordon models
[10.3204/PUBDB-2018-02538]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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