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TY - CONF AU - Folsom, B.T. AU - Laface, E. ED - Liu, Lin ED - Byrd, John M. ED - Neuenschwander, Regis T. ED - Picoreti, Renan ED - Schaa, Volker R. W. TI - Fully Covariant Two-Particle Space-Charge Dynamics Using the Liénard-Wiechert Potentials J2 - Proc. of IPAC2021, Campinas, SP, Brazil, 24-28 May 2021 CY - Campinas, SP, Brazil T2 - International Particle Accelerator Conference T3 - 12 LA - english AB - Space charge models typically assume instantaneous propagation of the electromagnetic fields between particles in a bunch, describing forces in the frame of the reference particle. In this paper, we construct a space-charge tracking code from the retarded Liénard-Wiechert potentials, which are covariant by design, in a Lagrangian formulation. Such potentials are manipulated with covariant derivatives to produce the necessary equations of motion that will be solved in a test system of two particles at various relative energies. Magnetic dipole moment dynamics are also evaluated where applicable. PB - JACoW Publishing CP - Geneva, Switzerland SP - 1931 EP - 1934 KW - electromagnetic-fields KW - electron KW - space-charge KW - FEL KW - dipole DA - 2021/08 PY - 2021 SN - 2673-5490 SN - 978-3-95450-214-1 DO - doi:10.18429/JACoW-IPAC2021-TUPAB218 UR - https://jacow.org/ipac2021/papers/tupab218.pdf ER -