2019/02/28 by Fabio Siringo
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Coupling (piping) #Fixed point #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Renormalization #Statistical physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.100.074014
published as Phys. Rev. D 100, 074014 (2019) · 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
arxiv created 2019/10/06 · openalex publication_date 2019/10/14 · arxiv updated 2019/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.