Strong-coupling expansion of lattice O(N) sigma models

Abstract

We report progress in the computation and analysis of strong-coupling series of two- and three-dimensional $\mathrm{O}(N)$ $\sigma$ models. We show that, through a combination of long strong-coupling series and judicious choice of observables, one can compute continuum quantities reliably and with a precision at least comparable with the best available Monte Carlo data.

4 pages, compressed uuencoded PostScript, Contribution to Lattice 95

References in corpus (1)

• Strong-coupling expansion of lattice O(N) sigma models

Cited by in corpus (8)

• A strong-coupling analysis of two-dimensional O(N) sigma models with N<=2 on square, triangular and honeycomb lattices
• Perturbative renormalization group, exact results and high temperature series to order 21 for the N-vector spin models on the square lattice
• Comparison of the O(3) Bootstrap $\sigma$-Model with the Lattice Regularization at Low Energies
• Continuum Limits and Exact Finite-Size-Scaling Functions for One-Dimensional $O(N)$-Invariant Spin Models
• Critical Phenomena with Linked Cluster Expansions in a Finite Volume
• Linked cluster expansions beyond nearest neighbour interactions: convergence and graph classes
• Strong-coupling expansion of lattice O(N) sigma models
• Critical behavior of the correlation function of three-dimensional O(N) models in the symmetric phase