Koopman‐von Neumann formulation of classical Yang‐Mills theories: I

@article{Carta2006KoopmanvonNF,
  title={Koopman‐von Neumann formulation of classical Yang‐Mills theories: I},
  author={Paolo Carta and Ennio Gozzi and D. Mauro},
  journal={Annalen der Physik},
  year={2006},
  volume={15}
}
In this paper we present the Koopman‐von Neumann (KvN) formulation of classical non‐Abelian gauge field theories. In particular we shall explore the functional (or classical path integral) counterpart of the KvN method. In the quantum path integral quantization of Yang‐Mills theories concepts like gauge‐fixing and Faddeev‐Popov determinant appear in a quite natural way. We will prove that these same objects are needed also in this classical path integral formulation for Yang‐Mills theories. We… 

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