On a Quantum Field Theory with Degenerate Vacuum and a Special Type of Symmetry
- 1 January 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (1) , 148-154
- https://doi.org/10.1063/1.1704801
Abstract
We investigate a frame of a model of quantum field theory with a degenerate vacuum. At least one vacuum is cyclic. The field is covariant under a ``gauge'' transformation. We show the existence of non‐gauge‐invariant vacuum states. We define ``observables'' as gauge‐invariant operators; the algebra of these does not coincide with the algebra of the field operator; the reduction of the former algebra reflects a superselection rule.Keywords
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