2009/05/31 by Alessandro Nigro
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Chemistry #Composite material #Graph theory and applications #Materials science #Mathematics #Operator (biology) #Physics #Polymer #Theoretical and Computational Physics #Topological and Geometric Data Analysis #hep-th
paper · pdf · doi:10.1088/1742-5468/2009/10/p10008
published as J. Stat. Mech. (2009) P10008 · improved version, accepted for publishing on JSTAT
arxiv created 2009/09/07 · openalex publication_date 2009/10/09 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider critical dense polymers , corresponding to a logarithmic conformal field theory with central charge c = −2. An elegant decomposition of the Baxter Q operator is obtained in terms of a finite number of lattice integrals of motion. All local, nonlocal and dual nonlocal involutive charges are introduced directly on the lattice and their continuum limit is found to agree with the expressions predicted by conformal field theory. A highly nontrivial operator Ψ(ν) is introduced on the lattice taking values in the Temperley–Lieb algebra. This Ψ function provides a lattice discretization of the analogous function introduced by Bazhanov, Lukyanov and Zamolodchikov. It is also observed how the eigenvalues of the Q operator reproduce the well known spectral determinant for the harmonic oscillator in the continuum scaling limit.