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the claim
A quantum field is an operator-valued distribution acting on a Fock space
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
7 sources for · 0 against

Multiple authoritative physics references confirm that in rigorous formulations of quantum field theory, quantum fields are defined mathematically as operator-valued distributions acting on a Fock space.

Evidence for · 7
Springer: Local quantum physics : fields, particles, algebras
1996 · cited by 0
Explicitly states that quantum fields are operator-valued distributions on a domain.
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The analysis

Judged against the evidence record for claims of this kind.

More for · 6
OpenAIRE: A model of quantum field theory treated in the Fock−Cook formalism. II
1975 · cited by 0
Refers to the 'usual operator-valued distribution approach to quantum field theory' as standard.
OpenAIRE: Complex classical fields: An example
2014 · cited by 0
States that the classical field is defined as an operator-valued distribution acting on a Fock space.
OpenAIRE: Boson-fermion correspondence and quantum integrable and dispersionless models
2003 · cited by 0
Shows that a scalar field is a well-defined operator-valued distribution on the fermionic Fock space.
OpenAIRE: The boson-fermion correspondence and quantum integrable and dispersionless models.
cited by 0
Confirms that the resulting scalar field is an operator-valued distribution on the fermionic Fock space.
Phys.Rev.D: Massless Gupta-Bleuler vacuum on the (1+1)-dimensional de Sitter space-time
1998 · cited by 0
States a quantum field is defined rigorously as an operator-valued distribution in a specific de Sitter space model.
NASA Technical Reports Server: Information, Finite-Dimensional Fock Space, and Small-Scale Structure of Spacetime
2018 · cited by 0
Mentions the Fock space for a quantum field, though it doesn't explicitly define the field as an operator-valued distribution in the text excerpt.
Everything we examined (24) — 19 independent sources
This check searched the claim as stated. It did not run a separate search for evidence against it.
  1. Wikipedia: Quantum field theoryreferencesame source L1no side takennot shown: read and judged not to bear on this claim
  2. Wikipedia: Fock spacereferencesame source L1no side takennot shown: read and judged not to bear on this claim
  3. Springer: Local quantum physics : fields, particles, algebrasreferencesupports
  4. OpenAIRE: A model of quantum field theory treated in the Fock−Cook formalism. IIpeer-reviewedsupports
  5. OpenAIRE: Complex classical fields: An examplepeer-reviewedsupports
  6. OpenAIRE: Positron position operators. I. A natural optionpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  7. OpenAIRE: Boson-fermion correspondence and quantum integrable and dispersionless modelspeer-reviewedsupports
  8. OpenAIRE: The boson-fermion correspondence and quantum integrable and dispersionless models.peer-reviewedsupports
  9. OpenAIRE: ΘTHEORY: THE COMPLETE UNCENSORED SCIENTIFIC VALIDATIONpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  10. Phys.Rev.D: Massless Gupta-Bleuler vacuum on the (1+1)-dimensional de Sitter space-timepeer-reviewedsupports
  11. Phys.Rev.Res.: Generalized overlap quantum state tomographypeer-reviewedno side takennot shown: read and judged not to bear on this claim
  12. Phys.Rev.A: Coarse-grained intermolecular interactions on quantum processorspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  13. Phys.Rev.A: Roadmap for quantum simulation of the fractional quantum Hall effectpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  14. Phys.Rev.A: Homodyne measurement with a Schrödinger cat state as a local oscillatorpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  15. NASA Technical Reports Server: Information, Finite-Dimensional Fock Space, and Small-Scale Structure of Spacetimeprimary-datasame source L14supports
  16. NASA Technical Reports Server: Quantum-classical electron distributions in atoms and atomic ionsprimary-datasame source L14no side takennot shown: read and judged not to bear on this claim
  17. NASA Technical Reports Server: Microscopic Modeling of Intersubband Optical Processes in Type II Semiconductor Quantum Wells: Linear Absorptionprimary-datasame source L14no side takennot shown: read and judged not to bear on this claim
  18. NASA Technical Reports Server: Atomic electron energies including relativistic effects and quantum electrodynamic correctionsprimary-datasame source L14no side takennot shown: read and judged not to bear on this claim
  19. NASA Technical Reports Server: Neutral-atom electron binding energies from relaxed-orbital relativistic Hartree-Fock-Slater calculations for Z between 2 and 106primary-datasame source L14no side takennot shown: read and judged not to bear on this claim
  20. Physical Review D: Tensor-polarized parton density in the N → Δ transition from the large- N c light-cone wave functionpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  21. Physical Review Letters: Fokker-Planck Equation Governing the Distribution of Walkers in Auxiliary-Field Quantum Monte Carlopeer-reviewedno side takennot shown: read and judged not to bear on this claim
  22. Physical Review. D.: Tensor network simulations of quasi-GPDs in the massive Schwinger modelpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  23. OSTI: Stochastic mean-field theory and applications to multinucleon transfer and kinetic energy dissipation processes in heavy-ion collisionspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  24. Physical Review Letters: Intrinsically Quantum Effects of Axion Dark Matter Are Undetectablepeer-reviewedno side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked06 Aug 2026
judged → SUPPORTED · 7506 Aug 2026
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