Difficulty of Divergence of the Perturbation Method in the Quantum Field Theory

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概要

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• The behaviour of the S-matrices is investigated in the cases of the systems with Lagrangians of (1.2) and (1.9). The series-representation of S in powers of the coupling constant diverges though each term of this series is finite by virtue of the non-local form factor. The divergence of this series results from the fact that the number of graphs corresponding to the n-th term increases rapidly with the increase in n. The number of graphs is estimated by taking advantage of the "Green-function"

• 理論物理学刊行会の論文

著者

• Utiyama Ryoyu

  Osaka University

• Imamura Tsutomu

  Osaka University

関連論文

• Difficulty of Divergence of the Perturbation Method in the Quantum Theory of Field
• Difficulty of Divergence of the Perturbation Method in the Quantum Field Theory
• On the covariant Formalism of the Quantum Theory of Fields, II
• On the Covariant Formalism of the Quantum Theory of Fields. I.

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