Quantum charges and spacetime topology: the emergence of new superselection sectors

DOI10.1007/s00220-008-0671-6zbMath1180.81097arXiv0801.3365OpenAlexW2081262149MaRDI QIDQ731346

Giuseppe Ruzzi, Romeo Brunetti

Publication date: 2 October 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3365

zbMATH Keywords

superselection sectorsspacetime topologyaxiomatic quantum field theory1-cocyclesalgebras of local observablesquantum charges

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (22)

\(C^\ast\)-algebra generated by the paths semigroup ⋮ Background potentials and superselection sectors ⋮ Dynamical locality and covariance: what makes a physical theory the same in all spacetimes? ⋮ Dynamical locality of the free scalar field ⋮ Topological features of massive bosons on two-dimensional Einstein space-time ⋮ Where charged sectors are localizable: a viewpoint from covariant cohomology ⋮ Dynamical locality of the nonminimally coupled scalar field and enlarged algebra of Wick polynomials ⋮ A new light on nets of \(C^\ast\)-algebras and their representations ⋮ Aharonov-Bohm superselection sectors ⋮ The \(K\)-homology of nets of \(C^\ast\)-algebras ⋮ The \(C_0(X)\)-algebra of a net and index theory ⋮ Representations of nets of \(C^{*}\)-algebras over \(S ^{1}\) ⋮ Gerbes over posets and twisted \(C^*\)-dynamical systems ⋮ An Introduction to Algebraic Quantum Field Theory ⋮ Algebraic Quantum Field Theory in Curved Spacetimes ⋮ On the Spin-Statistics Connection in Curved Spacetimes ⋮ ENDOMORPHISMS AND AUTOMORPHISMS OF LOCALLY COVARIANT QUANTUM FIELD THEORIES ⋮ QUANTUM FIELD THEORY ON CURVED BACKGROUNDS — A PRIMER ⋮ Presheaves of superselection structures in curved spacetimes ⋮ Globally hyperbolic spacetimes: slicings, boundaries and counterexamples ⋮ Manifold topology, observables, and gauge group ⋮ Presheaves of symmetric tensor categories and nets of \(C^\ast\)-algebras

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