2008/02/08 by Marco Frasca, Frasca, Marco
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.0802.1183
19 pages, 2 figures. Completely revised version introducing for the first time a covariant version of our strong coupling expansion in quantum field theory
openalex publication_date 2008/02/08 · arxiv created 2010/10/03 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the Green function of the massless scalar field theory in the infrared till the next-to-leading order, providing a fully covariant strong coupling expansion. Applying Callan-Symanzik equation we obtain the exact running coupling for this case by computing the beta function. This result is applied using a recently proved mapping theorem between a massless scalar field theory and Yang-Mills theory. This beta function gives a running coupling going to zero as p4 in agreement with lattice results presented in Boucaud et al. [JHEP 0304 (2003) 005] and showing that the right definition of the running coupling for a Yang-Mills theory in the infrared is given in a MOM scheme. The emerging scenario is supporting a quantum field theory based on instantons.