2014/08/31 by Rasmus Larsen, Edward Shuryak
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Dyon #Instanton #Magnetic monopole #Mathematical physics #Mechanics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Streamlines, streaklines, and pathlines #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1016/j.nuclphysa.2016.03.013
published as Nucl. Phys. A {\bf 950}, 110 (2016) · 10 pages, 12 figures
openalex publication_date 2016/03/14 · arxiv created 2016/04/29 · arxiv updated 2016/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Instanton-dyons, also known as instanton-monopoles or instanton-quarks, are topological constituents of the instantons at nonzero temperature and nonzero expectation value of A4. While the interaction between instanton-dyons has been calculated to one-loop order by a number of authors, that for dyon-antidyon pairs remains unknown even at the classical level. In this work we are filling this gap, by solving the gradient flow equation on a 3d lattice. We start with two well separated objects. We find that, after initial rapid relaxation, the configurations follow "streamline" set of configurations, which is basically independent on the initial configurations used. In striking difference to instanton-antiinstanton streamlines, in this case it ends at a quasi-stationary configuration, with an abrupt drop to perturbative fields. We parameterize the action of the streamline configurations, which is to be used in future many-body calculations.