Eigenvector and eigenvalue problem for 3D bosonic model
| dc.creator | Korepanov, I. G. | |
| dc.creator | Sergeev, S. M. | |
| dc.date | 1998-02-14 | |
| dc.date.accessioned | 2026-07-07T06:17:32Z | |
| dc.date.available | 2026-07-07T06:17:32Z | |
| dc.description | In this paper we reformulate free field theory models defined on the rectangular $D+1$ dimensional lattices as $D+1$ evolution models. This evolution is in part a simple linear evolution on free (``creation'' and ``annihilation'') operators. Formal eigenvectors of this linear evolution can be directly constructed, and them play the role of the ``physical'' creation and annihilation operators. These operators being completed by a ``physical'' vacuum vector give the spectrum of the evolution operator, as well as the trace of the evolution operator give a correct expression for the partition function. As an example, Bazhanov -- Baxter's free bosonic model is considered. | |
| dc.description | LaTeX, 18 pages | |
| dc.identifier | https://arxiv.org/abs/solv-int/9802012 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9802012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94419 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Eigenvector and eigenvalue problem for 3D bosonic model | |
| dc.type | text |