Wick products of the free Bose field

DOI10.1016/0022-1236(89)90052-9zbMath0694.46052OpenAlexW2121380365WikidataQ62443870 ScholiaQ62443870MaRDI QIDQ909207

John C. Baez

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90052-9

zbMATH Keywords

selfadjoint operatorcomplete Riemannian manifoldessentially self-adjointFréchet topologiesHeisenberg commutation relationsWick products of the free Bose field

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Quantum field theory on curved space or space-time backgrounds (81T20) Miscellaneous applications of functional analysis (46N99)

Related Items (5)

The vacuum and lightcone quantization of interaction Hamiltonians ⋮ On quantum fields satisfying a given wave equation ⋮ Quantum interaction :φ44:, the construction of quantum field defined as a bilinear form ⋮ Essential self-adjointness of Wick squares in quasi-free Hadamard representations on curved spacetimes ⋮ \(H\)-\(C^1\) maps and elliptic SPDEs with polynomial and exponential perturbations of Nelson's Euclidean free field

Cites Work

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• Scattering and the geometry of the solution manifold of \(\square f+\lambda f^ 3=0\)
• Nonlinear functions of weak processes. I
• Nonlinear functions of weak processes. II
• Renormalized products of the generalized free field and its derivatives
• Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians
• Quadratic Expressions in a Free Boson Field
• The Harmonic Operator for Exterior Differential Forms

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