Regularization as Quantization in Reducible Representations of CCR

@article{Czachor2004RegularizationAQ,
  title={Regularization as Quantization in Reducible Representations of CCR},
  author={Marek Czachor and Jan Naudts},
  journal={International Journal of Theoretical Physics},
  year={2004},
  volume={46},
  pages={70-101}
}
  • M. Czachor, J. Naudts
  • Published 2 August 2004
  • Physics
  • International Journal of Theoretical Physics
A covariant quantization scheme employing reducible representations of canonical commutation relations with positive-definite metric and Hermitian four-potentials (an alternative to the Gupta-Bleuler method) is tested on the example of quantum electromagnetic fields produced by a classical current. The Heisenberg dynamics can be consistently formulated since the fields are given by operators and not operator-valued distributions. The scheme involves a Hamiltonian whose free part is modified but… 
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