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• W2000876878 abstract "The renormalization group flow equation obtained by means of a proper time regulator is used to calculate the two loop $ensuremath{beta}$ function and anomalous dimension $ensuremath{eta}$ of the field for the $O(N)$ symmetric scalar theory. The standard perturbative analysis of the flow equation does not yield the correct results for both $ensuremath{beta}$ and $ensuremath{eta}.$ We also show that it is still possible to extract the correct $ensuremath{beta}$ and $ensuremath{eta}$ from the flow equation in a particular limit of the infrared scale. A modification of the derivation of the exact renormalization group flow, which involves a more general class of regulators, to recover the proper time renormalization group flow is analyzed." @default.
• W2000876878 created "2016-06-24" @default.
• W2000876878 creator A5058627882 @default.
• W2000876878 date "2002-11-26" @default.
• W2000876878 modified "2023-09-27" @default.
• W2000876878 title "Perturbative and nonperturbative aspects of the proper time renormalization group" @default.
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• W2000876878 doi "https://doi.org/10.1103/physrevd.66.105020" @default.
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