On some nonunitary representations of the Poincaré group and their use for the construction of free quantum fields

DOI10.1063/1.528502zbMath0704.22016OpenAlexW1999692197MaRDI QIDQ3483491

V. S. Varadarajan, Piero Truini, Gianni Cassinelli, Gennaro Olivieri

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528502

zbMATH Keywords

finite dimensional representationsintertwining operatorsstability groupPoincaré groupsemi-direct productsSchwarz spacecategory of Hilbert space representationsfree quantum fields

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Electromagnetic interaction; quantum electrodynamics (81V10) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

Finite dimensional representations of the Euclidean algebra e(2) having two generators ⋮ Hilbert space representations of the Poincaré group for the Landau gauge ⋮ Indecomposable Finite-Dimensional Representations of a Class of Lie Algebras and Lie Superalgebras ⋮ Little group method for smooth representations of finite length ⋮ Geometric Realizations of Representations of Finite Length ⋮ Unitarizable massless fields of higher order and higher spin

Cites Work

• Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet
• Noncompletely reducible representations of the Poincaré group associated with the generalized Lorentz gauge