Renormalization of the Nonlinear σ Model in 2+ɛ Dimensions-Application to the Heisenberg Ferromagnets (original) (raw)
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Abstract
The nonlinear σ model is renormalizable and asymptotically free in two dimensions. We show here how to construct this model in 2+ɛ dimensions. Renormalization-group equations follow and exhibit a nontrivial uv stable fixed point, which corresponds in the language of Heisenberg ferromagnets to a critical point. The existence of systematic expansions in powers of d-2 follows from this analysis. In the presence of a source information about long-distance behavior above the critical coupling constant is obtainable.
Publication:
Physical Review Letters
Pub Date:
March 1976
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