Anomalous dimensions and the renormalization group equations |
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Authors: | Ken-ichi Shizuya |
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Institution: | Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153, Japan |
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Abstract: | An interpretation is given of scale and anomalous dimensions in the framework of the renormalization group, and the renormalization group equations are derived which are regarded to represent the conservation of these scale dimensions. By the use of continuous dimensional regularization all coefficient functions appearing in these equations and in the Callan-Symanzik equations are explicitly expressed in terms of the residues of the single poles at n = 4 as well as the finite part of renormalization counter-terms. |
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