Scaling Contributions to the Free Energy in the 1/N Expansion of O(N) Nonlinear Sigma Models in d-Dimensions
Abstract
Within the 1/N expansion of O(N) nonlinear σ models for d ≤ 4 it is possible to separate consistently the spin-wave and the massive-mode contributions to the scaling part of the free energy near criticality, and to evaluate them to O(1/N). For critical dimensions d = 2+2/n the Abe-Hikami anomaly is recovered, while for d=2 the removal of the spin-wave term is justified.
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