Pathology of Minimal Subtraction Renormalization in the Analytically Regularized 1/N Expansion : Particles and Fields
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概要
- 論文の詳細を見る
We show that the recently observed essential singularity in the dimensionally regularized 1/N expansion appears generally in models having linear or quadratic divergences in the next-to-leading order of the 1/N expansion and has nothing to do with the asymptotic freedom of the models. Also analytic regularization produces the same kind of the singularity as in dimensional regularization when used in the 1/N expansion in O(N)(φ^2)^2_<d=4> but not in O(N) non-linear σ-model in two dimensions. This singularity is accompanied by the term depending on the renormalization mass scale which makes the minimal subtraction method unable to be carried out. Typical examples are the three-dimensional O(N) model with both bosons and fermions and (Yukawa)_<d=4> in addition to O(N)(φ^2)^2_<d=4>.
- 理論物理学刊行会の論文
- 1986-11-25
著者
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YAMAMOTO Hisashi
Research Institute for Theoretical Physics Hiroshima University
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Yamamoto H
Department Of Management Engineering Faculty Of Science And Technology Teikyo University Of Science
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Suzuki Tsuneo
Department Of Forensic Medicine Yamagata University School Of Medicine
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YAMAMOTO Hiroaki
Department of Physics, University of Tokyo
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YAMAMOTO Hikaru
Depart of Physics, Kyoto University
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