https://doi.org/10.1140/epjc/s10052-017-5384-6
Regular Article - Theoretical Physics
A method for getting a finite
in the IR region from an all-order beta function
1
Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China
2
School of Physical Sciences, University of Chinese Academy of Sciences, No.19A Yuquan Road, Beijing, 100049, China
3
College of Science, Xi’an University of Science and Technology, Xi’an, 710054, People’s Republic of China
* e-mail: zhengzy@itp.ac.cn
Received:
22
June
2017
Accepted:
14
November
2017
Published online:
24
November
2017
The analytical method of the QCD running coupling constant is extended to a model with an all-order beta function which is inspired by the famous Novikov–Shifman–Vainshtein–Zakharov beta function of supersymmetric gauge theories. In the approach presented here, the running coupling is determined by a transcendental equation with non-elementary integral of the running scale
. In our approach
, which reads 0.30642, does not rely on any dimensional parameters. This is in accordance with results in the literature on the analytical method of the QCD running coupling constant. The new “analytically improved” running coupling constant is also compatible with the property of asymptotic freedom.
© The Author(s), 2017