TY  - EJOUR
AU  - Derkachov, Sergey E.
AU  - Kozlowski, Karol K.
AU  - Manashov, Alexander N.
TI  - On the separation of variables for the modular XXZ magnet and the lattice Sinh-Gordon models
IS  - DESY-18-088
M1  - PUBDB-2018-02538
M1  - DESY-18-088
M1  - arXiv:1806.04487
PY  - 2018
AB  - 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<sup>2</sup>(\mathbbR<sup>N</sup>). 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 B (λ)-operator for the odd length lattice Sinh-Gordon model.
KW  - modular (INSPIRE)
KW  - lattice field theory (INSPIRE)
KW  - magnet (INSPIRE)
KW  - monodromy (INSPIRE)
KW  - XXZ model (INSPIRE)
KW  - sine-Gordon model (INSPIRE)
KW  - operator: spectrum (INSPIRE)
KW  - Hilbert space (INSPIRE)
KW  - Mellin transformation (INSPIRE)
LB  - PUB:(DE-HGF)25 ; PUB:(DE-HGF)29
DO  - DOI:10.3204/PUBDB-2018-02538
UR  - https://bib-pubdb1.desy.de/record/407554
ER  -