Exact Theory of Polymer Adsorption in Analogy with the Kondo Problem

Abstract

We conjecture the exact scaling theory for the adsorption of two-dimensional polymers by using boundary S matrices. We compute the boundary free energy (the ``g-function''), study the flow from adsorbed to desorbed phase, and derive the crossover exponent and all the geometrical exponents at the transition. More generally, we solve the special transition in the O(n) model, the polymer case corresponding to n=0. The n=2 limit appears identical to the ordinary Kondo problem.

10 pages

References in corpus (3)

• Deriving Boundary S Matrices
• N=2 Supersymmetry, Painleve III and Exact Scaling Functions in 2D Polymers
• Kinks in the Kondo problem

Cited by in corpus (7)

• Exact Results for the Adsorption of a Flexible Self-Avoiding Polymer Chain in Two Dimensions
• Boundary flows in minimal models
• Conformal boundary conditions in the critical O(n) model and dilute loop models
• Integrable O(n) model on the honeycomb lattice via reflection matrices : Surface critical behaviour
• Statistical Mechanics of Confined Polymer Networks
• New scaling laws for self-avoiding walks: bridges and worms
• Random Walk with a Boundary Line as a Free Massive Boson with a Defect Line