2009/04/15 by Daniel Zwanziger, Zwanziger, Daniel
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #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:10.48550/arxiv.0904.2380
9 pages
arxiv created 2009/04/15 · openalex publication_date 2009/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive some exact relations in Landau gauge that follow from a cut-off at the Gribov horizon which is then implemented by a local, renormalizable action involving auxiliary bose and fermi ghosts. The fermi ghost propagator is more singular than 1/k2 at k = 0, and the relation αD + 2 αG = (D - 4)/2 holds between the infrared critical exponents of the gluon and ghost propagators D(k) and G(k) in D Euclidean dimensions. Finally, in D Euclidean dimensions, there is a long-range force, transmitted by the propagator of the auxiliary bose ghost that corresponds to a linearly rising potential with tensor coupling to colored quarks that is proportional to the renormalization-group invariant g2 D(k) G2(k). A comparison with numerical results is discussed.