Infrared and vacuum structure in two-dimensional local quantum field theory models. The massless scalar field

DOI10.1063/1.528739zbMath0712.46044OpenAlexW2039150295MaRDI QIDQ3196850

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528739

zbMATH Keywords

symmetry breakingvacuum structurescaletranslation- invariant operatorstranslation-invariant statebreaking of the Lorentz transformationsconformal transformations of the fielddual fieldinfrared operatorsmassless scalar field in two dimensionsmaximal Krein state space associated to the Wightman functionstwo-dimensional local quantum field theory

Mathematics Subject Classification ID

Model quantum field theories (81T10) Symmetry breaking in quantum theory (81R40) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Applications of functional analysis in quantum physics (46N50)

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Cites Work

• The Schwinger model revisited
• Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory
• The physical state space of quantum electrodynamics
• Free Massless Scalar Field in Two-Dimensional Space-Time
• Gauge Invariance and Mass. II