Preprint/Report

PUBDB-2018-02538

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. E. ; Kozlowski, K. K. (Corresponding author) ; Manashov, A. N.

2018

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Please use a persistent id in citations: doi:10.3204/PUBDB-2018-02538

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 out analysis, we prove the Bystko-Teschner conjecture relative to the structure of the spectrum of the $\mathrm{B} (\lambda)$-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

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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 2018

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Derkachov, S. É. ; Kozlowski, K. K. (Corresponding author) ; Manashov, A. N.Extern*
On the Separation of Variables for the Modular XXZ Magnet and the Lattice Sinh-Gordon Models
Annales Henri Poincaré 20(8), 2623 - 2670 (2019) [10.1007/s00023-019-00806-2]2019     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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