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arXiv · hep-th/0702023

Forcing Free Fields

Richard Shurtleff
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Abstract

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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Richard Shurtleff. 2007-12-18. Forcing Free Fields. https://arxiv.org/abs/hep-th/0702023

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