Nonlocal Lagrangians for Accelerated Systems
High Energy Physics - Theory
2012-05-22 v3 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.0708.2744,
title = {Nonlocal Lagrangians for Accelerated Systems},
author = {C. Chicone and B. Mashhoon},
journal= {arXiv preprint arXiv:0708.2744},
year = {2012}
}
Comments
11 pages, no figures; v2: 20 pages; expanded version accepted for publication in Ann. Phys. (Leipzig); v3: several typos corrected to match the published version