Positivity and self adjointness of the \(P(\phi)_ 2\) Hamiltonian

DOI10.1007/BF01877508zbMath0221.47022OpenAlexW2040540897MaRDI QIDQ2547361

Arthur Jaffe, James G. Glimm

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1007/bf01877508

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (12)

Probabilistic aspects of quantum field theory ⋮ The Φ4 equations of motion. I. A new constructive method: The Φ iteration ⋮ Correlation inequalities and the mass gap in \(P(\phi)_2\). I: Domination by the two point function ⋮ The relativistic polaron without cutoffs ⋮ Charges in spacelike cones ⋮ Axioms for Euclidean Green's functions ⋮ Measures on Schwartz distribution space and applications to \(P(\varphi)_2\) field theories ⋮ Unnamed Item ⋮ Causal independence and the energy-level density of states in local quantum field theory ⋮ A generalization of the classical moment problem on *-algebras with applications to relativistic quantum theory. II ⋮ Essential self-adjointness of semibounded operators ⋮ On commutators and self-adjointness

Cites Work

• Boson fields with nonlinear selfinteraction in two dimensions
• A \(\lambda\varphi^{2n}\) field theory without cutoffs
• Construction of nonlinear local quantum processes. I
• Almost positive perturbations of positive selfadjoint operators
• Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
• A polymer expansion for the quantum Heisenberg ferromagnet wave function
• 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
• Rigorous quantum field theory models

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