Nonlocal Lagrangians for Accelerated Systems

Details Nonlocal Lagrangians for Accelerated Systems Nonlocal Lagrangians for Accelerated Systems

2007-08-21

arxiv.org/abs/0708.2744v3

Annalen Phys.16:798-810,1997

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures; v2: 20 pages; expanded version accepted for publication in Ann. Phys. (Leipzig); v3: several typos corre

Scientific paper

10.1002/andp.200710266

Acceleration-induced nonlocality and the corresponding Lorentz-invariant nonlocal field equations of accelerated systems in Minkowski spacetime are discussed. Under physically reasonable conditions, the nonlocal equation of motion of the field can be derived from a variational principle of stationary action involving a nonlocal Lagrangian that is simply obtained by composing the local inertial Lagrangian with the nonlocal transformation of the field to the accelerated system. The implications of this approach for the electromagnetic and Dirac fields are briefly discussed.

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