منابع مشابه
Solvable Critical Dense Polymers
A lattice model of critical dense polymers is solved exactly for finite strips. The model is the first member of the principal series of the recently introduced logarithmic minimal models. The key to the solution is a functional equation in the form of an inversion identity satisfied by the commuting double-row transfer matrices. This is established directly in the planar Temperley-Lieb algebra...
متن کاملFinite-size corrections for logarithmic representations in critical dense polymers
Article history: Received 16 December 2011 Received in revised form 16 February 2012 Accepted 17 March 2012 Available online 19 March 2012 Editor: L. Alvarez-Gaumé We study (analytic) finite-size corrections in the dense polymer model on the strip by perturbing the critical Hamiltonian with irrelevant operators belonging to the tower of the identity. We generalize the perturbation expansion to ...
متن کاملIntegrals of Motion for Critical Dense Polymers and Symplectic Fermions
We consider critical dense polymers L(1, 2). We obtain for this model the eigenvalues of the local integrals of motion of the underlying Conformal Field Theory by means of Thermodynamic Bethe Ansatz. We give a detailed description of the relation between this model and Symplectic Fermions including some examples of the indecomposable structure of the transfer matrix in the continuum limit. Inte...
متن کاملDense critical and vertex-critical graphs
This paper gives new constructions of k-chromatic critical graphs with high minimum degree and high edge density, and of vertex-critical graphs with high edge density. c © 2002 Elsevier Science B.V. All rights reserved.
متن کاملSolvable Lattice Gas Models of Random Hetero - Polymers atFinite
We introduce 1-dimensional lattice gas versions of three common models of random hetero-polymers, in which both the polymer density and the density of the polymer-solvent mixture are nite. These solvable models give valuable insight into the problems related to the (quenched) average over the randomness in statistical mechanical models of proteins, without having to deal with the hard geometric...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2007
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2007/02/p02015