Coulomb confinement in the Hamiltonian limit
Year: 2024
Type: article
Abstract: The Gribov-Zwanziger scenario attributes the phenomenon of confinement to the instantaneous interaction term in the QCD Hamiltonian in the Coulomb gauge. For a static quark-antiquark pair, it leads to a potential energy that increases linearly with the distance between them. Lattice studies of the SU(2) Yang-Mills theory determined the corresponding (Coulomb) string tension for sources in the fundamental representation, σ C , to be about 3 times larger than the Wilson loop string tension, σ F . It is far above the Zwanziger variational bound, σ C ≥ σ F . We argue that the value often reported in the literature is artificially inflated. We examine the lattice definition of the instantaneous potential, find the source of the string tension’s enhancement, and perform its improved determination in SU(2) lattice gauge theory. We report our conservative estimate for the value of the Coulomb string tension as σ C / σ F = 2.0 ± 0.4 and discuss its phenomenological implications. Published by the American Physical Society 2024
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funders: National Science Foundation, U.S. Department of Energy, Eli Lilly and Company, Indiana University, Lilly Endowment, Old Dominion University, Strong, Ministerio de Ciencia, Innovación y Universidades, Universidad Nacional de Educación a Distancia, Horizon 2020 Framework Programme, European Regional Development Fund, Agencia Estatal de Investigación, Thomas Jefferson National Accelerator Facility
Awards: G1105844351, G1175115578, THEORETICAL STUDIES OF INTERMEDIATE - ENERGY NUCLEAR PHYSICS, G1553439044, G1728142190, MRI Acquisition: A Reconfigurable Computing Infrastructure Enabling Interdisciplinary and Collaborative Research in Hampton Roads, G222768804, G2262748287, G2263355576, G2702141073, G294895050, G2988778103, G300979063, G3035362077, G3044628913, G3111662533, G3142173218, G3480869486, G3780874795, G4087634877, G425668148, G4774512024, G491712853, G5080475149, THEORETICAL PHYSICS OF PARTICLES, FIELDS AND STRINGS, G593054264, G624073364, G632107855, QUARKS AND GLUONS AT JEFFERSON LAB AND THE B FACTORIES, G6731524417, G6791753710, G683931746, G7084143925, G7340230215, G7451223319, G7520763071, G776309457, G7805626310, G7863371703, G8345352404, G8497050386, THEORETICAL STUDIES IN NUCLEAR AND HADRONIC PHYSICS
OpenAlex ID: W4404320475