2004/06/15 by Kurt Langfeld, Laurent Moyaerts · 7 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.70.074507
published as Phys.Rev. D70 (2004) 074507 · 10 pages, 7 figures
arxiv created 2004/06/15 · openalex publication_date 2004/10/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A thorough study of 4-dimensional SU(2) Yang-Mills theory in Coulomb gauge is performed using large scale lattice simulations. The (equal-time) transverse gluon propagator, the ghost form factor d(p) and the Coulomb potential Vcoul(p)\ensuremath∝d2(p)f(p)/p2 are calculated. For large momenta p, the gluon propagator decreases like 1/p^1+\ensuremathη with \ensuremathη=0.5(1). At low momentum, the propagator is weakly momentum dependent. The small momentum behavior of the Coulomb potential is consistent with linear confinement. We find that the inequality \ensuremathσcoul\ensuremath≥\ensuremathσ is satisfied. Finally, we provide evidence that the ghost form factors d(p) and f(p) acquire IR singularities, i.e., d(p)\ensuremath∝1/√(p) and f(p)\ensuremath∝1/p, respectively. It turns out that the combination g02d0(p) of the bare gauge coupling g0 and the bare ghost form factor d0(p) is finite and therefore renormalization group invariant.