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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Relativistic two-body interactions: a Hamiltonian formulation

R. Giachetti, E. Sorace

Published Apr 1, 1980• 12 citations
Publisher
DOI
10.1007/bf02729264

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There is no relativistic Hamiltonian for many particles systems except for free particles and this has been accepted since the 1960s from the work of Currie, Jordan and Sudarshan, Cannon and Jordan, and Leutwyler. This is the problem we will address in this paper by coupling relativistic particles with a scalar field. The Hamiltonian we derive is explicitly relativistic and in the non-relativistic limit gives a Hamiltonian with two body interaction. However, we find that the Poincare algebra is still not satisfied because of the inherent time delayed interaction in relativistic particle systems.