Functional integrals and inequivalent representations in Quantum Field Theory

@inproceedings{Blasone2017FunctionalIA,
  title={Functional integrals and inequivalent representations in Quantum Field Theory},
  author={Massimo Blasone and Petr Jizba and Luca Smaldone},
  year={2017}
}
  • Massimo Blasone, Petr Jizba, Luca Smaldone
  • Published 2017
  • Physics, Mathematics
  • Abstract We discuss canonical transformations in Quantum Field Theory in the framework of the functional-integral approach. In contrast with ordinary Quantum Mechanics, canonical transformations in Quantum Field Theory are mathematically more subtle due to the existence of unitarily inequivalent representations of canonical commutation relations. When one works with functional integrals, it is not immediately clear how this algebraic feature manifests itself in the formalism. Here we attack… CONTINUE READING

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