Forcing Free Fields

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, no figures, 5 problems. Minor editing. Wording changes: `interval' replaced by `coordinate difference' where appropr

Scientific paper

The momentum of a free massive particle, invariant under translation, thereby realizes a trivial representation of the translation group. By allowing nontrivial reps of translations, momentum changes with translation, a recipe for force. Here the procedure is applied to the conventional construction of a free quantum field using spacetime symmetries, yielding a more general field with the free field as a special case. It is shown that a particle described by the quantum field follows the classical trajectories of a massive charged particle in electromagnetic and gravitational fields.

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