Scaling Contributions to the Free Energy in the 1/N Expansion of O(N) Nonlinear Sigma Models in d-Dimensions

Details Scaling Contributions to the Free Energy in the 1/N Expansion of O(N) Nonlinear Sigma Models in d-Dimensions Scaling Contributions to the Free Energy in the 1/N Expansion of O(N) Nonlinear Sigma Models in d-Dimensions

1997-10-10

arxiv.org/abs/hep-lat/9710041v2

Phys.Lett. B420 (1998) 314-318

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, Latex, one figure, submitted to Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)01560-8

Within the 1/N expansion of O(N) nonlinear $\sigma$ models for $d \leq 4$ 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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