Extraordinary transition in the two-dimensional O(n) model

Abstract

The extraordinary transition which occurs in the two-dimensional O(n) model for $n<1$ at sufficiently enhanced surface couplings is studied by conformal perturbation theory about infinite coupling and by finite-size scaling of the spectrum of the transfer matrix of a simple lattice model. Unlike the case of $n\ge 1$ in higher dimensions, the surface critical behaviour differs from that occurring when fixed boundary conditions are imposed. In fact, all the surface scaling dimensions are equal to those already found for the ordinary transition, with, however, an interesting reshuffling of the corresponding eigenvalues between different sectors of the transfer matrix.

18 pages, Latex, 12 eps figures; submitted to Nucl. Phys. B

References in corpus (3)

• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Exact Results for the Adsorption of a Flexible Self-Avoiding Polymer Chain in Two Dimensions
• Integrable O(n) model on the honeycomb lattice via reflection matrices : Surface critical behaviour

Cited by in corpus (4)

• The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
• Boundary Criticality of the 3D O($N$) Model: From Normal to Extraordinary
• Conformal boundary conditions in the critical O(n) model and dilute loop models
• Associative algebraic approach to logarithmic CFT in the bulk: the continuum limit of the gl(1|1) periodic spin chain, Howe duality and the interchiral algebra