2011/04/26 by Domingo J. Louis-Martinez
Physics and Astronomy · #Action (physics) #Class (philosophy) #Construct (python library) #Field (mathematics) #Field theory (psychology) #Generalization #High-Energy Particle Collisions Research #Lagrangian #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1007/s10701-011-9589-5
arxiv created 2011/04/26 · openalex publication_date 2011/09/01 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
After a brief review of the field formulations and the relativistic non-instantaneous action-at-a-distance formulations of some well known classical theories, we study Rivacoba's generalization of a theory with a linearly rising potential as a relativistic non-instantaneous action-at-a-distance theory. For this case we construct the corresponding field theory, which turns out to coincide with a model proposed by Kiskis to describe strong interactions. We construct the action functional for this field theory. Although this model belongs to the class of Lagrangian theories with higher derivatives, it is shown that its action-at-a-distance counterpart has a much simpler form. A proposal to construct an action-at-a-distance description of Yang-Mills interactions is also presented.