Calculation of the non-perturbative strong coupling from first principles
Abstract
The success of the screened massive expansion is investigated in the framework of a screened momentum-subtraction scheme for the running of the strong coupling in pure Yang-Mills theory. By the exact Slavnov-Taylor and Nielsen identities, a very predictive and self-contained set of stationary conditions are derived for the optimization of the fixed-coupling expansion, yielding explicit analytical one-loop expressions for the propagators, the coupling and the beta function, from first principles. An excellent agreement is found with the lattice data. In the proposed screened renormalization scheme, a monotonic running coupling emerges which saturates in the IR at the finite IR stable fixed point where the beta function crosses the zero. A simple analytical expression is derived for the leading behavior of the beta in the IR.
Keywords
Cite
@article{arxiv.1902.04110,
title = {Calculation of the non-perturbative strong coupling from first principles},
author = {Fabio Siringo},
journal= {arXiv preprint arXiv:1902.04110},
year = {2019}
}
Comments
In the last versions a typo has been corrected in Table I and a figure has been added (fig1b), illustrating the optimization of the ghost function