Hilbert space representations of the Poincaré group for the Landau gauge

DOI10.1063/1.529333zbMath0747.46051OpenAlexW2031666417MaRDI QIDQ3981668

V. S. Varadarajan, Piero Truini, Gianni Cassinelli

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529333

zbMATH Keywords

Wightman axiomsPoincaré groupcontinuous representationelectromagnetic quantum field in the Landau gaugeHilbert space of \(\mathbb{C}^ 4\)-valued functionsjets on the forward light cone in momentum spacemassless vector field theoryone particle space

Mathematics Subject Classification ID

Model quantum field theories (81T10) Electromagnetic interaction; quantum electrodynamics (81V10) Applications of functional analysis in quantum physics (46N50) Other representations of locally compact groups (22D12)

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Little group method for smooth representations of finite length, Geometric Realizations of Representations of Finite Length, Unnamed Item

Cites Work

• On some nonunitary representations of the Poincaré group and their use for the construction of free quantum fields
• Noncompletely reducible representations of the Poincaré group associated with the generalized Lorentz gauge
• Note on Continuous Representations of Lie Groups