1998/02/14 by I. G. Korepanov, Korepanov, I. G., С. М. Сергеев +2
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Quantum many-body systems #Theoretical and Computational Physics #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9802012
LaTeX, 18 pages
arxiv created 1998/02/14 · openalex publication_date 1998/02/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.