Anomalous Dimensions in the (Ψφ^^^-)Ψφ Model Field Theory in 1/N Expansion

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概要

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• We analyzed the field-theory model with interaction Lagrangian (Ψφ^^^-)Ψφ where Ψ and φ are the fermion and boson N-component fields. The theory is solved by applying the 1/N expansion technique. In 3 dimensions β(g) vanishes identically and so we obtained the scale invariant theory. Anomalous dimensions of the Ψ and φ fields are calculated. The results are given in Eqs. (3・13) and (3・26). Anomalous dimensions of the relevant composite tensor operators are also evaluated as shown in Eqs. (3・48) and (3・63). All anomalous dimensions are coupling dependent. It is shown that for D≠3 dimensions the theory is UV and IR free and the effective coupling of the theory is confined to be very small.

• 理論物理学刊行会の論文
• 1977-07-25

著者

• Popovic Dragan

  Research Institute For Fundamental Physics Kyoto University

関連論文

• Anomalous Dimensions of Composite Operators in the Gross-Neveu Model in 2+ε Dimensions
• Anomalous Dimensions in the (Ψφ^^^-)Ψφ Model Field Theory in 1/N Expansion
• Asymptotic Freedom in the Wentzel Pair Model in 3 Space-Time Dimensions

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