Free quantum fields on the Poincaré group

DOI10.1063/1.531537zbMath0862.22018arXivgr-qc/9602031OpenAlexW3099852532MaRDI QIDQ5284237

M. Toller

Publication date: 2 April 1997

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9602031

zbMATH Keywords

unitary representationsMinkowski space-timePoincaré groupfree quantum fields

Mathematics Subject Classification ID

Model quantum field theories (81T10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (6)

Positive-operator-valued time observable in quantum mechanics ⋮ General solutions of relativistic wave equations. II: Arbitrary spin chains ⋮ MAXWELL FIELD ON THE POINCARÉ GROUP ⋮ Field on Poincaré group and quantum description of orientable objects ⋮ \(CPT\) groups of higher spin fields ⋮ On the invariance in the inhomogeneous Lorentz group SO(1,3) in the context of optical vortex description

Cites Work

• Maximal acceleration, maximal angular velocity, and causal influence
• On unitary ray representations of continuous groups
• Extended test particles in geometric fields
• Relativity and deformed Lie groups
• Decomposition of the Unitary Irreducible Representations of the Group SL(2C) Restricted to the Subgroup SU(1, 1)

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