Natural higher-derivatives generalization for the Klein–Gordon equation

  title={Natural higher-derivatives generalization for the Klein–Gordon equation},
  author={Ronaldo Thibes},
  journal={Modern Physics Letters A},
  • R. Thibes
  • Published 4 November 2020
  • Mathematics
  • Modern Physics Letters A
We propose a natural family of higher-order partial differential equations generalizing the second-order Klein–Gordon equation. We characterize the associated model by means of a generalized action for a scalar field, containing higher-derivative terms. The limit obtained by considering arbitrarily higher-order powers of the d’Alembertian operator leading to a formal infinite-order partial differential equation is discussed. The general model is constructed using the exponential of the d… 
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