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• W2025811078 abstract "The validity of the renormalization group approach for large $N$ is clarified by using the vector model as an example. An exact difference equation is obtained which relates free energies for neighboring values of $N$. The reparametrization freedom in field space provides infinitely many identities which reduce the infinite dimensional coupling constant space to that of finite dimensions. The effective beta functions give exact values for the fixed points and the susceptibility exponents." @default.
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• W2025811078 date "1993-08-01" @default.
• W2025811078 modified "2023-10-16" @default.
• W2025811078 title "Exact beta functions in the vector model and renormalization group approach" @default.
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• W2025811078 doi "https://doi.org/10.1016/0370-2693(93)90493-2" @default.
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