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arXiv · 2005.03291

Finite Z-less integral expressions for $\beta$-functions in the MS4 scheme

N. D. Lenshina·A. A. Radionov·F. V. Tkachov
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Abstract

The generalized minimal subtraction scheme for ultraviolet renormalization (Kuznetsov and Tkachov, 1988) is fine-tuned with applications in mind. The resulting $\text{MS}^4$ scheme obviates extraneous regularizations and renders momentum integrands integrable by subtracting troublesome asymptotic terms in a physically correct fashion due to the use of special minimal subtraction operators defined congruously with the physically natural Polchinski cutoffs. A direct derivation of the Callan-Symanzik equations avoids divergent renormalization factors or counterterms, and automatically yields explicit exact finite integral expressions for renormalization group functions.

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N. D. Lenshina, A. A. Radionov, F. V. Tkachov. 2020-05-07. Finite Z-less integral expressions for $\beta$-functions in the MS4 scheme. https://doi.org/10.1134/s1547477121020102

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