• Corpus ID: 119138707

Inequivalent Vacuum States in Algebraic Quantum Theory

  title={Inequivalent Vacuum States in Algebraic Quantum Theory},
  author={Gennadi A Sardanashvily},
  journal={arXiv: Mathematical Physics},
  • G. Sardanashvily
  • Published 13 August 2015
  • Physics, Mathematics
  • arXiv: Mathematical Physics
The GNS representation construction is considered in a general case of topological involutive algebras of quantum systems, including quantum fields, and inequivalent state spaces of these systems are characterized. We aim to show that, from the physical viewpoint, they can be treated as classical fields by analogy with a Higgs vacuum field. 

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