TY  - JOUR
AU  - Derkachov, Sergey É.
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
JO  - Annales Henri Poincaré
VL  - 20
IS  - 8
SN  - 1424-0637
CY  - Cham, Switzerland
PB  - Springer International Publishing AG
M1  - PUBDB-2019-02813
M1  - arXiv:1806.04487
M1  - DESY-18-088
SP  - 2623 - 2670
PY  - 2019
N1  - (c) Springer Nature Switzerland AG
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 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.
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)16
UR  - <Go to ISI:>//WOS:000475516100004
DO  - DOI:10.1007/s00023-019-00806-2
UR  - https://bib-pubdb1.desy.de/record/424236
ER  -