The Scaling Properties of the Confined φ^4 Theory

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概要

• 論文の詳細を見る

• The propagators of the confined fields are obtained in 1/R expansion up to the order (π/R)^2, where R is the size of the hadron. The renormalizability of confined φ^4 theory in 1+3 dimensions is studied. It is multiplicatively renormalizable up to the order (π/R)^2 and g_R^2, in the minimal subtraction scheme. Besides the usual renormalization constants, the size parameter R is also renormalized. In the renormalization group equation of the n-point function, the anomalous "size dimension" is introduced. The inverse of the running size R(t)^<-1> behaves just like the running mass and it decreases rapidly as the momentum (e^tp) increases. Then the confined theory approaches quickly the unconfined one as t increases.

• 理論物理学刊行会の論文
• 1981-10-25

著者

• SAKAI Sunao

  Institute of Physics, University of Tsukuba

• Sakai Sunao

  Institute Of Physics The University Of Tsukuba

• SAKAI Sunao

  Faculty of Education, Yamagata University

• SAKAI Sunao

  Departmont of Physics Tokyo University of Education:Department of Physics, University of Tsukuba

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