Stability and mass of point particles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages

Scientific paper

10.1016/S0550-3213(98)00382-4

In this paper we consider classical point particles in full interaction with an arbitrary number of dynamical scalar and (abelian) vector fields. It is shown that the requirement of stability ---vanishing self-force--- is sufficient to remove the well-known inconsistencies of the classical theory: the divergent self-energy, as well as the failure of Lorentz-covariance of the energy-momentum when including the contributions of the fields. As a result, in these models the mass of a point particle becomes finitely computable. It is shown how these models are connected to quantum field theory via the path-integral representation of the propagator.

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