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arXiv · 1902.04110

Calculation of the non-perturbative strong coupling from first principles

Fabio Siringo
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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 $g=9.40$ where the beta function crosses the zero. A simple analytical expression is derived for the leading behavior of the beta in the IR.

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Fabio Siringo. 2019-10-06. Calculation of the non-perturbative strong coupling from first principles. https://doi.org/10.1103/physrevd.100.074014

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