Semidirect product of CCR and CAR algebras and asymptotic states in quantum electrodynamics

@article{Herdegen1998SemidirectPO,
  title={Semidirect product of CCR and CAR algebras and asymptotic states in quantum electrodynamics},
  author={Andrzej Herdegen},
  journal={Journal of Mathematical Physics},
  year={1998},
  volume={39},
  pages={1788-1817}
}
  • A. Herdegen
  • Published 10 November 1997
  • Mathematics, Physics
  • Journal of Mathematical Physics
A C*-algebra containing the CCR and CAR algebras as its subalgebras and naturally described as the semidirect product of these algebras is discussed. A particular example of this structure is considered as a model for the algebra of asymptotic fields in quantum electrodynamics in which Gauss’ law is respected. The appearance in this algebra of a phase variable related to electromagnetic potential leads to the universal charge quantization. Translationally covariant representations of this… 
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