Journal of Statistical Physics

, Volume 28, Issue 1, pp 83–97 | Cite as

Irrelevant operators and momentum-shell recursion relations ind=2 + ∈ dimensions

  • Indubala I. Satija
  • P. C. Hohenberg


The momentum-shell recursion relations of Nelson and Pelcovits for ann-vector model near two dimensions are reexamined. The renormalization of the infinite set of relevant and marginal operators present in the system is studied. Ambiguities obtained in the ensuing recursion relations are shown to involve irrelevant operators only, thus justifying the procedure of Nelson and Pelcovits. The cases of finite external fieldh and finite spin anisotropyg are both considered.

Key words

Renormalization group magnetism anisotropy 


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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Indubala I. Satija
    • 1
  • P. C. Hohenberg
    • 2
  1. 1.Department of PhysicsColumbia UniversityNew York
  2. 2.Bell LaboratoriesMurray Hill

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