Inequivalent Vacuum States in Algebraic Quantum Theory
arXiv:1508.03286
Abstract
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.
56 pages
References in corpus (7)
- The generally covariant locality principle -- A new paradigm for local quantum physics
- Fundamentals of Quantum Information Theory
- Homotopy of posets, net-cohomology and superselection sectors in globally hyperbolic spacetimes
- Superselection Sectors and General Covariance.I
- An Algebraic Characterization of Vacuum States in Minkowski Space. III. Reflection Maps
- Mathematical models of spontaneous symmetry breaking
- Algebras of infinite qubit systems