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.Comment: 11 pages, no figures; v2: 20 pages; expanded version accepted for
publication in Ann. Phys. (Leipzig); v3: several typos corrected to match the
published versio