Infinite infrared regularization and a state space for the Heisenberg algebra

DOI10.1063/1.1425427zbMath1059.81115arXivmath-ph/0105042OpenAlexW2075267265MaRDI QIDQ4830673

Andreas Schmidt

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0105042

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Applications of functional analysis in quantum physics (46N50) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (3)

Cohomology and extensions of representations of groups with normal Engel subgroups ⋮ Non-unitary representations of nilpotent groups. I: Cohomologies, extensions and neutral cocycles ⋮ Representations of nilpotent groups on spaces with indefinite metric

Cites Work

• The choice of test functions in gauge quantum field theories
• Infrared and vacuum structure in two-dimensional local quantum field theory models. The massless scalar field
• Hyperfunction quantum field theory: Basic structural results
• Irreducible representations of the Heisenberg algebra in Krein spaces
• Closure of field operators, asymptotic Abelianness, and vacuum structure in hyperfunction quantum field theory

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