✓ checked
trust me, bro:
here is the receipt.
the claim
A quantum field is an operator-valued distribution acting on a Fock space
the verdict
SUPPORTED
the evidence backs this
Recorded sources
7 sources for · 0 against
Is it true that a quantum field is an operator-valued distribution acting on a Fock space?
Yes. 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.
Verdict: SUPPORTED · 7 sources for, 0 against · Last checked
The analysis
Judged against the evidence record for claims of this kind.
Evidence for · 7
Explicitly states that quantum fields are operator-valued distributions on a domain.
Get citation
1922-, H. R. (1996). Springer: Local quantum physics : fields, particles, algebras. Springer. https://archive.org/details/localquantumphys0000haag
See more details
More for · 6
Refers to the 'usual operator-valued distribution approach to quantum field theory' as standard.
Get citation
OpenAIRE: A model of quantum field theory treated in the Fock−Cook formalism. II. (1975). OpenAIRE. https://doi.org/10.1063/1.522589
States that the classical field is defined as an operator-valued distribution acting on a Fock space.
Get citation
OpenAIRE: Complex classical fields: An example. (2014). OpenAIRE. https://doi.org/10.1016/j.jfa.2013.08.033
Shows that a scalar field is a well-defined operator-valued distribution on the fermionic Fock space.
Get citation
OpenAIRE: Boson-fermion correspondence and quantum integrable and dispersionless models. (2003). OpenAIRE. https://doi.org/10.1070/rm2003v058n05abeh000668
Confirms that the resulting scalar field is an operator-valued distribution on the fermionic Fock space.
Get citation
OpenAIRE: The boson-fermion correspondence and quantum integrable and dispersionless models.. (n.d.). OpenAIRE. https://explore.openaire.eu/
States a quantum field is defined rigorously as an operator-valued distribution in a specific de Sitter space model.
Get citation
Bievre, S. D. & Renaud, J. (1998). Phys.Rev.D: Massless Gupta-Bleuler vacuum on the (1+1)-dimensional de Sitter space-time. Phys.Rev.D. https://doi.org/10.1103/PhysRevD.57.6230
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.
Get citation
Yurtsever, U. (2018). NASA Technical Reports Server: Information, Finite-Dimensional Fock Space, and Small-Scale Structure of Spacetime. NASA Technical Reports Server. https://ntrs.nasa.gov/citations/20060038552
Related receipts
- Is it true that Hilbert spaces provide the mathematical framework for quantum states and operators? SUPPORTED
- Is it true that the identity operator in quantum field theory leaves quantum states unchanged? COMMON KNOWLEDGE
- Is it true that the Hamiltonian operator determines the Hilbert space of a quantum system? REFUTED
- Fock space operators can be expressed in terms of creation and annihilation operators via second quantization COMMON KNOWLEDGE
What does the evidence say?
Judged against the evidence record for claims of this kind.
Receipt History
first checked06 Aug 2026
judged → SUPPORTED · 7506 Aug 2026
Anyone with this link can read the claim and its public receipt, including any
personal information in that text. Open permanent receipt.
Check your own claim
Challenge the receipt
Requests are recorded for review. This does not start an automatic check
or guarantee a response time.
Citation formatting by citeproc-js (Frank Bennett) and the Citation Style Language project. Source and licenses.
This receipt is an automated verdict against our published method · not an opinion about any author or publication.
Terms · Privacy · How verdicts work
Terms · Privacy · How verdicts work