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On the Theories of Higher Derivative and Non-Local Couplings, I
Progress of theoretical physics
The initial value problems for field equations (in mechanics, equations of motion) with higher derivative or non-local couplings are investigated on the basis of the perturbation theory. Especially it is the purpose of this paper to clarify how all higher derivatives of dynamical variables may be deduced from the prescribed initial values of the same degrees of freedom as those of free equations. The propagation character of those fields are also investigated, applying the characteristic theorydoi:10.1143/ptp.13.505 fatcat:stnpoichanbwdhnq67a5povb7e