Explicit classical solutions and comments on Higher-Derivative Klein-Gordon equation in (1+1)-D

A. Cherman, L.G. Ferreira Filho, L.L. Santos Guedes, J.A. Hela, ël-Neto.

Abstract


We present a simple and general method to solve higher-power D'Alembert equation in (1+1) dimensions for a set of completely general initial conditions. Explicit solutions are written down for the cases of $\Box^{2}$ and $\Box^{3}$ and the singularity structure is manifest through the derivative terms of some of the initial-condition functions. The explicit solutions found out may be useful if one wishes to device external sources which may suppress the non-physical modes introduced by the higher derivatives.

Keywords


Higher-derivative theories; 2D theories; ghosts

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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