title: Noncontractible loops in the dense O(n) loop model on the cylinder.
abstract: A lattice model of critical dense polymers O(n) is considered for finite cylinder geometry. Due to the presence of noncontractible loops with a fixed fugacity ξ, the model at n=0 is a generalization of the critical dense polymers solved by Pearce, Rasmussen, and Villani. We found the free energy for any height N and circumference L of the cylinder. The density ρ of noncontractible loops is obtained for N→∞ and large L. The results are compared with those found for the anisotropic quantum chain with twisted boundary conditions. Using the latter method, we derived ρ for any O(n) model and an arbitrary fugacity.
authors.affiliation: Instituto de Física de São Carlos, Universidade de São Paulo, Casixa Postal 369, 13560-590, São Carlos, SP, Brazil.
authors.forename: F C
authors.initials: FC
authors.lastname: Alcaraz
authors.affiliation: Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia and Institute of Mechanics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria.
authors.forename: J G
authors.initials: JG
authors.lastname: Brankov
authors.affiliation: Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia.
authors.forename: V B
authors.initials: VB
authors.lastname: Priezzhev
authors.affiliation: Physikalisches Institut, Universität Bonn, Nussallee 12, 53115 Bonn, Germany.
authors.forename: V
authors.initials: V
authors.lastname: Rittenberg
authors.affiliation: National Research University Higher School of Economics, 101000 Moscow, Russia.
authors.forename: A M
authors.initials: AM
authors.lastname: Rogozhnikov