Representations of the CCR in the \((\phi^ 4)_ 3\) model: Independence of space cutoff

DOI10.1007/BF01877586zbMath0227.46075OpenAlexW1485039121MaRDI QIDQ2549488

Jean-Pierre Eckmann

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1007/bf01877586

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Constructive quantum field theory (81T08) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items (2)

Probabilistic aspects of quantum field theory ⋮ Unnamed Item

Cites Work

• On the interaction picture
• Finite-particle representations and states of the canonical commutation relations
• Type I \(C^ *\)-algebras
• Boson fields with the \(:\Phi^ 4:\) interaction in three dimensions
• Exponential representations of the canonical commutation relations
• Unitary equivalence of Fock representations on the Weyl algebra
• On quasifree states of the canonical commutation relations. I
• High-Energy Behavior in Quantum Field Theory
• NOTES TOWARD THE CONSTRUCTION OF NONLINEAR RELATIVISTIC QUANTUM FIELDS, I. THE HAMILTONIAN IN TWO SPACE-TIME DIMENSIONS AS THE GENERATOR OF A C ^* -AUTOMORPHISM GROUP
• A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Quantum Field Theory without Cutoffs. I
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• Unnamed Item

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