MS4: a BPHZ killer
| Autor: | Lenshina, N. D., Radionov, A. A., Tkachov, F. V. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Physics of Particles and Nuclei, 2020, Vol. 51, No. 4, pp. 567-571 |
| Druh dokumentu: | Working Paper |
| Popis: | The UV renormalization scheme $\text{MS}^4$ emerged in the formalization of the reasoning which yielded an array of important algorithms in the 80's. $\text{MS}^4$ guarantees finiteness of renormalized integrals by construction, satisfies the Stueckelberg-Bogolyubov causality axiom for the R-operation, and turns out to be a 4-dimensional analog of t'Hooft's MS-scheme. The well-known IBP reduction algorithm can be ported to $\text{MS}^4$ with modifications, but without problems. $\text{MS}^4$ exhibits transparency of the structure, simplicity of the arithmetic at $D=4$, and new calculational options. A straightforward derivation of RG equations runs in terms of explicitly finite quantities and expresses RG functions in terms of explicitly finite integrals. Comment: 10 pages. Talk at the Bogolyubov 2019 Conference, JINR, Dubna, 11-13 Sep 2019; v.2: an e-mail corrected, added are a reference and a couple of clarifying notes based on early feedback |
| Databáze: | arXiv |
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