2004/09/27 by F. Di Renzo, Francesco Di Renzo, Andrea Mantovi +5
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computation #Computer science #Gauge theory #Lattice (music) #Lattice field theory #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Regularization (linguistics) #Statistical physics #hep-lat
paper · pdf · doi:10.1016/j.nuclphysbps.2004.11.302
Lattice2004(non-zero), 3 pages, 2 figures
arxiv created 2004/09/27 · openalex publication_date 2005/01/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report on the perturbative computation of the 3d lattice Yang-Mills free energy to four loops by means of Numerical Stochastic Perturbation Theory. The known first and second orders have been correctly reproduced; the third and fourth order coefficients are new results and the known logarithmic IR divergence in the fourth order has been correctly identified. Progress is being made in switching to the gluon mass IR regularization and the related inclusion of the Faddeev-Popov determinant.