Issue |
EPJ Web Conf.
Volume 191, 2018
XXth International Seminar on High Energy Physics (QUARKS-2018)
|
|
---|---|---|
Article Number | 06001 | |
Number of page(s) | 7 | |
Section | Modern Field Theory and Mathematical Physics | |
DOI | https://doi.org/10.1051/epjconf/201819106001 | |
Published online | 31 October 2018 |
https://doi.org/10.1051/epjconf/201819106001
About renormalized effective action for the Yang-Mills theory in four-dimensional space-time
St. Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 27 Fontanka, St. Petersburg, Russia
* e-mail: regul1@mail.ru
Published online: 31 October 2018
This work is related to the asymptotic approach in the renormalization theory and its problems. As the main example, the Yang-Mills theory in four-dimensional space-time is considered. It has been shown earlier [16] that using the asymptotic of the bare coupling constant one can find an expression for the renormalized effective action, however, this formula has problems (divergence ln " and infinite series). This work shows the relation of these values and provides an answer for the renormalized effective action.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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