Some remarks on the Gupta–Bleuler triplet

DOI10.1063/1.528684zbMath0731.22019OpenAlexW2043788503MaRDI QIDQ3356558

Dario Pierotti

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528684

zbMATH Keywords

statesrepresentation spacesPoincaré groupLandau gaugeGupta-Bleuler tripletIndecomposable representationsmaximal Hilbert spacesingular field theorytwo-dimensional massless scalar field

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie groups to the sciences; explicit representations (22E70) Groups and algebras in quantum theory (81R99) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items (1)

Numerical method based on the lattice Boltzmann model for the Fisher equation

Cites Work

• Spontaneous symmetry breaking in local gauge quantum field theory; the Higgs mechanism
• Algebraic quantization of systems with gauge degeneracy
• Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet
• The Schwinger model revisited
• Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory
• On the extensions of mass-zero representations of the Poincaré group
• Algebraic structures of degenerate systems and the indefinite metric
• Noncompletely reducible representations of the Poincaré group associated with the generalized Lorentz gauge

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