Relativistic action at a distance and fields
arXiv:1104.4837 · doi:10.1007/s10701-011-9589-5
Abstract
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.
References in corpus (9)
- Bound state equation in the Wilson loop approach with minimal surfaces
- Massless interacting particles
- Post-Minkowski action for point particles and a helically symmetric binary solution
- Reduction of the QCD string to a time component vector potential
- Exact solutions of the relativistic many-body problem
- Relativistic non-instantaneous action-at-a-distance interactions
- Minimizers with discontinuous velocities for the electromagnetic variational method
- The absorber hypothesis of electrodynamics
- Relativistic action-at-a-distance interactions: Lagrangian and Hamiltonian to terms of second order