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arXiv · 1612.01455

Renormalization Scheme Dependence and the Renormalization Group Beta Function

F. A. Chishtie·D. G. C. McKeon
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Abstract

The renormalization that relates a coupling "a" associated with a distinct renormalization group beta function in a given theory is considered. Dimensional regularization and mass independent renormalization schemes are used in this discussion. It is shown how the renormalization $a^*=a+x_2a^2$ is related to a change in the mass scale $\mu$ that is induced by renormalization. It is argued that the infrared fixed point is to be a determined in a renormalization scheme in which the series expansion for a physical quantity $R$ terminates.

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F. A. Chishtie, D. G. C. McKeon. 2016-12-05. Renormalization Scheme Dependence and the Renormalization Group Beta Function. https://doi.org/10.1103/physrevd.95.116013

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