2003/09/16 by Francesco Di Renzo, F. Di Renzo, A. Mantovi +4 · 5 citations
Mathematics · Physics and Astronomy · #Algorithm #Classical mechanics #Combinatorics #Computation #Degrees of freedom (physics and chemistry) #Effective field theory #Gauge theory #High-Energy Particle Collisions Research #Logarithm #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Statistical physics #Theoretical physics #hep-lat
paper · pdf · doi:10.1016/s0920-5632(03)02651-3
published in Nuclear Physics B - Proceedings Supplements 129-130, 590-592 (Elsevier BV) · 3 pages, 2 figure, Lattice2003(nonzero)
arxiv created 2003/09/16 · openalex publication_date 2004/03/01 · arxiv updated 2016/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Dimensional reduction is a key issue in finite temperature field theory. For example, when following the QCD Free Energy from low to high scales across the critical temperature, ultrasoft degrees of freedom can be captured by a 3d SU(3) pure gauge theory. For such a theory a complete perturbative matching requires four loop computations, which we undertook by means of Numerical Stochastic Perturbation Theory. We report on the computation of the pure gauge plaquette in 3d, and in particular on the extraction of the logarithmic divergence at order g8, which had already been computed in the continuum.